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Finding the Fourth Proportional to 600.36, 827.70 and 434.76

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Solution

The fourth proportional to 600.36, 827.70 and 434.76 is: 599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.36 : 827.70 = 434.76 : x
  2. Step 2: Convert to fraction form
    600.36/827.70 = 434.76/x
  3. Step 3: Cross multiply
    600.36x = 827.70 × 434.76
  4. Step 4: Simplify right side
    600.36x = 359,850.85
  5. Step 5: Solve for x
    x = 359,850.85/600.36
  6. Step 6: Final answer
    x = 599.39

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.