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Finding the Fourth Proportional to 482.13, 721.31 and 345.42

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Solution

The fourth proportional to 482.13, 721.31 and 345.42 is: 516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.13 : 721.31 = 345.42 : x
  2. Step 2: Convert to fraction form
    482.13/721.31 = 345.42/x
  3. Step 3: Cross multiply
    482.13x = 721.31 × 345.42
  4. Step 4: Simplify right side
    482.13x = 249,153.17
  5. Step 5: Solve for x
    x = 249,153.17/482.13
  6. Step 6: Final answer
    x = 516.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.