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Finding the Fourth Proportional to 632.38, 946.60 and 409.72

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Solution

The fourth proportional to 632.38, 946.60 and 409.72 is: 613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.38 : 946.60 = 409.72 : x
  2. Step 2: Convert to fraction form
    632.38/946.60 = 409.72/x
  3. Step 3: Cross multiply
    632.38x = 946.60 × 409.72
  4. Step 4: Simplify right side
    632.38x = 387,840.95
  5. Step 5: Solve for x
    x = 387,840.95/632.38
  6. Step 6: Final answer
    x = 613.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.