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Finding the Fourth Proportional to 542.38, 748.24 and 376.99

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Solution

The fourth proportional to 542.38, 748.24 and 376.99 is: 520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.38 : 748.24 = 376.99 : x
  2. Step 2: Convert to fraction form
    542.38/748.24 = 376.99/x
  3. Step 3: Cross multiply
    542.38x = 748.24 × 376.99
  4. Step 4: Simplify right side
    542.38x = 282,079.00
  5. Step 5: Solve for x
    x = 282,079.00/542.38
  6. Step 6: Final answer
    x = 520.08

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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.