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Finding the Fourth Proportional to 547.76, 820.67 and 374.15

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Solution

The fourth proportional to 547.76, 820.67 and 374.15 is: 560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.76 : 820.67 = 374.15 : x
  2. Step 2: Convert to fraction form
    547.76/820.67 = 374.15/x
  3. Step 3: Cross multiply
    547.76x = 820.67 × 374.15
  4. Step 4: Simplify right side
    547.76x = 307,053.86
  5. Step 5: Solve for x
    x = 307,053.86/547.76
  6. Step 6: Final answer
    x = 560.56

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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.