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Finding the Fourth Proportional to 708.49, 977.53 and 472.78

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Solution

The fourth proportional to 708.49, 977.53 and 472.78 is: 652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.49 : 977.53 = 472.78 : x
  2. Step 2: Convert to fraction form
    708.49/977.53 = 472.78/x
  3. Step 3: Cross multiply
    708.49x = 977.53 × 472.78
  4. Step 4: Simplify right side
    708.49x = 462,149.38
  5. Step 5: Solve for x
    x = 462,149.38/708.49
  6. Step 6: Final answer
    x = 652.31

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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.