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Finding the Fourth Proportional to 546.62, 753.03 and 457.79

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Solution

The fourth proportional to 546.62, 753.03 and 457.79 is: 630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.62 : 753.03 = 457.79 : x
  2. Step 2: Convert to fraction form
    546.62/753.03 = 457.79/x
  3. Step 3: Cross multiply
    546.62x = 753.03 × 457.79
  4. Step 4: Simplify right side
    546.62x = 344,725.84
  5. Step 5: Solve for x
    x = 344,725.84/546.62
  6. Step 6: Final answer
    x = 630.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.