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Finding the Fourth Proportional to 463.29, 639.45 and 416.58

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Solution

The fourth proportional to 463.29, 639.45 and 416.58 is: 574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.29 : 639.45 = 416.58 : x
  2. Step 2: Convert to fraction form
    463.29/639.45 = 416.58/x
  3. Step 3: Cross multiply
    463.29x = 639.45 × 416.58
  4. Step 4: Simplify right side
    463.29x = 266,382.08
  5. Step 5: Solve for x
    x = 266,382.08/463.29
  6. Step 6: Final answer
    x = 574.98

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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.