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Finding the Fourth Proportional to 546.68, 754.01 and 381.14

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Solution

The fourth proportional to 546.68, 754.01 and 381.14 is: 525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.68 : 754.01 = 381.14 : x
  2. Step 2: Convert to fraction form
    546.68/754.01 = 381.14/x
  3. Step 3: Cross multiply
    546.68x = 754.01 × 381.14
  4. Step 4: Simplify right side
    546.68x = 287,381.95
  5. Step 5: Solve for x
    x = 287,381.95/546.68
  6. Step 6: Final answer
    x = 525.68

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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.