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Finding the Fourth Proportional to 632.38, 873.08 and 408.70

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Solution

The fourth proportional to 632.38, 873.08 and 408.70 is: 564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.38 : 873.08 = 408.70 : x
  2. Step 2: Convert to fraction form
    632.38/873.08 = 408.70/x
  3. Step 3: Cross multiply
    632.38x = 873.08 × 408.70
  4. Step 4: Simplify right side
    632.38x = 356,827.80
  5. Step 5: Solve for x
    x = 356,827.80/632.38
  6. Step 6: Final answer
    x = 564.26

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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.