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Finding the Fourth Proportional to 629.48, 868.14 and 542.00

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Solution

The fourth proportional to 629.48, 868.14 and 542.00 is: 747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.48 : 868.14 = 542.00 : x
  2. Step 2: Convert to fraction form
    629.48/868.14 = 542.00/x
  3. Step 3: Cross multiply
    629.48x = 868.14 × 542.00
  4. Step 4: Simplify right side
    629.48x = 470,534.05
  5. Step 5: Solve for x
    x = 470,534.05/629.48
  6. Step 6: Final answer
    x = 747.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.