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Finding the Fourth Proportional to 708.24, 977.47 and 542.40

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Solution

The fourth proportional to 708.24, 977.47 and 542.40 is: 748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.24 : 977.47 = 542.40 : x
  2. Step 2: Convert to fraction form
    708.24/977.47 = 542.40/x
  3. Step 3: Cross multiply
    708.24x = 977.47 × 542.40
  4. Step 4: Simplify right side
    708.24x = 530,174.71
  5. Step 5: Solve for x
    x = 530,174.71/708.24
  6. Step 6: Final answer
    x = 748.58

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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.