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Finding the Fourth Proportional to 546.24, 819.63 and 474.42

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Solution

The fourth proportional to 546.24, 819.63 and 474.42 is: 711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 819.63 = 474.42 : x
  2. Step 2: Convert to fraction form
    546.24/819.63 = 474.42/x
  3. Step 3: Cross multiply
    546.24x = 819.63 × 474.42
  4. Step 4: Simplify right side
    546.24x = 388,848.86
  5. Step 5: Solve for x
    x = 388,848.86/546.24
  6. Step 6: Final answer
    x = 711.86

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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.