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Finding the Fourth Proportional to 542.02, 747.93 and 332.14

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Solution

The fourth proportional to 542.02, 747.93 and 332.14 is: 458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.02 : 747.93 = 332.14 : x
  2. Step 2: Convert to fraction form
    542.02/747.93 = 332.14/x
  3. Step 3: Cross multiply
    542.02x = 747.93 × 332.14
  4. Step 4: Simplify right side
    542.02x = 248,417.47
  5. Step 5: Solve for x
    x = 248,417.47/542.02
  6. Step 6: Final answer
    x = 458.32

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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.