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Finding the Fourth Proportional to 546.95, 754.52 and 381.41

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Solution

The fourth proportional to 546.95, 754.52 and 381.41 is: 526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.95 : 754.52 = 381.41 : x
  2. Step 2: Convert to fraction form
    546.95/754.52 = 381.41/x
  3. Step 3: Cross multiply
    546.95x = 754.52 × 381.41
  4. Step 4: Simplify right side
    546.95x = 287,778.62
  5. Step 5: Solve for x
    x = 287,778.62/546.95
  6. Step 6: Final answer
    x = 526.15

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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.