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Finding the Fourth Proportional to 480.40, 721.68 and 416.14

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Solution

The fourth proportional to 480.40, 721.68 and 416.14 is: 625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.40 : 721.68 = 416.14 : x
  2. Step 2: Convert to fraction form
    480.40/721.68 = 416.14/x
  3. Step 3: Cross multiply
    480.40x = 721.68 × 416.14
  4. Step 4: Simplify right side
    480.40x = 300,319.92
  5. Step 5: Solve for x
    x = 300,319.92/480.40
  6. Step 6: Final answer
    x = 625.15

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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.