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Finding the Fourth Proportional to 600.56, 829.14 and 414.38

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Solution

The fourth proportional to 600.56, 829.14 and 414.38 is: 572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.56 : 829.14 = 414.38 : x
  2. Step 2: Convert to fraction form
    600.56/829.14 = 414.38/x
  3. Step 3: Cross multiply
    600.56x = 829.14 × 414.38
  4. Step 4: Simplify right side
    600.56x = 343,579.03
  5. Step 5: Solve for x
    x = 343,579.03/600.56
  6. Step 6: Final answer
    x = 572.10

Related Problems

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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.