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Finding the Fourth Proportional to 546.50, 754.56 and 380.66

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Solution

The fourth proportional to 546.50, 754.56 and 380.66 is: 525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 754.56 = 380.66 : x
  2. Step 2: Convert to fraction form
    546.50/754.56 = 380.66/x
  3. Step 3: Cross multiply
    546.50x = 754.56 × 380.66
  4. Step 4: Simplify right side
    546.50x = 287,227.04
  5. Step 5: Solve for x
    x = 287,227.04/546.50
  6. Step 6: Final answer
    x = 525.57

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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.