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Finding the Fourth Proportional to 546.14, 819.49 and 315.24

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Solution

The fourth proportional to 546.14, 819.49 and 315.24 is: 473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.14 : 819.49 = 315.24 : x
  2. Step 2: Convert to fraction form
    546.14/819.49 = 315.24/x
  3. Step 3: Cross multiply
    546.14x = 819.49 × 315.24
  4. Step 4: Simplify right side
    546.14x = 258,338.25
  5. Step 5: Solve for x
    x = 258,338.25/546.14
  6. Step 6: Final answer
    x = 473.02

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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.