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Finding the Fourth Proportional to 546.15, 752.03 and 466.87

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Solution

The fourth proportional to 546.15, 752.03 and 466.87 is: 642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.15 : 752.03 = 466.87 : x
  2. Step 2: Convert to fraction form
    546.15/752.03 = 466.87/x
  3. Step 3: Cross multiply
    546.15x = 752.03 × 466.87
  4. Step 4: Simplify right side
    546.15x = 351,096.49
  5. Step 5: Solve for x
    x = 351,096.49/546.15
  6. Step 6: Final answer
    x = 642.86

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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.