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Finding the Fourth Proportional to 542.82, 748.92 and 332.88

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Solution

The fourth proportional to 542.82, 748.92 and 332.88 is: 459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.82 : 748.92 = 332.88 : x
  2. Step 2: Convert to fraction form
    542.82/748.92 = 332.88/x
  3. Step 3: Cross multiply
    542.82x = 748.92 × 332.88
  4. Step 4: Simplify right side
    542.82x = 249,300.49
  5. Step 5: Solve for x
    x = 249,300.49/542.82
  6. Step 6: Final answer
    x = 459.27

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1.5x scale

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.