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Finding the Fourth Proportional to 566.43, 853.92 and 475.70

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Solution

The fourth proportional to 566.43, 853.92 and 475.70 is: 717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.43 : 853.92 = 475.70 : x
  2. Step 2: Convert to fraction form
    566.43/853.92 = 475.70/x
  3. Step 3: Cross multiply
    566.43x = 853.92 × 475.70
  4. Step 4: Simplify right side
    566.43x = 406,209.74
  5. Step 5: Solve for x
    x = 406,209.74/566.43
  6. Step 6: Final answer
    x = 717.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.