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Finding the Fourth Proportional to 617.80, 925.48 and 472.81

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Solution

The fourth proportional to 617.80, 925.48 and 472.81 is: 708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.80 : 925.48 = 472.81 : x
  2. Step 2: Convert to fraction form
    617.80/925.48 = 472.81/x
  3. Step 3: Cross multiply
    617.80x = 925.48 × 472.81
  4. Step 4: Simplify right side
    617.80x = 437,569.21
  5. Step 5: Solve for x
    x = 437,569.21/617.80
  6. Step 6: Final answer
    x = 708.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.