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Finding the Fourth Proportional to 480.32, 721.39 and 400.13

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Solution

The fourth proportional to 480.32, 721.39 and 400.13 is: 600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 721.39 = 400.13 : x
  2. Step 2: Convert to fraction form
    480.32/721.39 = 400.13/x
  3. Step 3: Cross multiply
    480.32x = 721.39 × 400.13
  4. Step 4: Simplify right side
    480.32x = 288,649.78
  5. Step 5: Solve for x
    x = 288,649.78/480.32
  6. Step 6: Final answer
    x = 600.95

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