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Finding the Fourth Proportional to 601.89, 830.15 and 415.69

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Solution

The fourth proportional to 601.89, 830.15 and 415.69 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.89 : 830.15 = 415.69 : x
  2. Step 2: Convert to fraction form
    601.89/830.15 = 415.69/x
  3. Step 3: Cross multiply
    601.89x = 830.15 × 415.69
  4. Step 4: Simplify right side
    601.89x = 345,080.90
  5. Step 5: Solve for x
    x = 345,080.90/601.89
  6. Step 6: Final answer
    x = 573.33

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.