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Finding the Fourth Proportional to 542.16, 751.37 and 532.44

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Solution

The fourth proportional to 542.16, 751.37 and 532.44 is: 737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 751.37 = 532.44 : x
  2. Step 2: Convert to fraction form
    542.16/751.37 = 532.44/x
  3. Step 3: Cross multiply
    542.16x = 751.37 × 532.44
  4. Step 4: Simplify right side
    542.16x = 400,056.78
  5. Step 5: Solve for x
    x = 400,056.78/542.16
  6. Step 6: Final answer
    x = 737.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.