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Finding the Fourth Proportional to 542.83, 748.90 and 332.94

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Solution

The fourth proportional to 542.83, 748.90 and 332.94 is: 459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.83 : 748.90 = 332.94 : x
  2. Step 2: Convert to fraction form
    542.83/748.90 = 332.94/x
  3. Step 3: Cross multiply
    542.83x = 748.90 × 332.94
  4. Step 4: Simplify right side
    542.83x = 249,338.77
  5. Step 5: Solve for x
    x = 249,338.77/542.83
  6. Step 6: Final answer
    x = 459.33

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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.