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Finding the Fourth Proportional to 567.06, 847.13 and 474.78

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Solution

The fourth proportional to 567.06, 847.13 and 474.78 is: 709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.06 : 847.13 = 474.78 : x
  2. Step 2: Convert to fraction form
    567.06/847.13 = 474.78/x
  3. Step 3: Cross multiply
    567.06x = 847.13 × 474.78
  4. Step 4: Simplify right side
    567.06x = 402,200.38
  5. Step 5: Solve for x
    x = 402,200.38/567.06
  6. Step 6: Final answer
    x = 709.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.