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Finding the Fourth Proportional to 537.66, 742.64 and 463.95

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Solution

The fourth proportional to 537.66, 742.64 and 463.95 is: 640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.66 : 742.64 = 463.95 : x
  2. Step 2: Convert to fraction form
    537.66/742.64 = 463.95/x
  3. Step 3: Cross multiply
    537.66x = 742.64 × 463.95
  4. Step 4: Simplify right side
    537.66x = 344,545.51
  5. Step 5: Solve for x
    x = 344,545.51/537.66
  6. Step 6: Final answer
    x = 640.82

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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.