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Finding the Fourth Proportional to 546.48, 752.40 and 519.12

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Solution

The fourth proportional to 546.48, 752.40 and 519.12 is: 714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 752.40 = 519.12 : x
  2. Step 2: Convert to fraction form
    546.48/752.40 = 519.12/x
  3. Step 3: Cross multiply
    546.48x = 752.40 × 519.12
  4. Step 4: Simplify right side
    546.48x = 390,585.89
  5. Step 5: Solve for x
    x = 390,585.89/546.48
  6. Step 6: Final answer
    x = 714.73

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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.