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Finding the Fourth Proportional to 546.66, 752.13 and 414.90

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Solution

The fourth proportional to 546.66, 752.13 and 414.90 is: 570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.66 : 752.13 = 414.90 : x
  2. Step 2: Convert to fraction form
    546.66/752.13 = 414.90/x
  3. Step 3: Cross multiply
    546.66x = 752.13 × 414.90
  4. Step 4: Simplify right side
    546.66x = 312,058.74
  5. Step 5: Solve for x
    x = 312,058.74/546.66
  6. Step 6: Final answer
    x = 570.85

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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.