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Finding the Fourth Proportional to 588.24, 878.40 and 480.24

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Solution

The fourth proportional to 588.24, 878.40 and 480.24 is: 717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.24 : 878.40 = 480.24 : x
  2. Step 2: Convert to fraction form
    588.24/878.40 = 480.24/x
  3. Step 3: Cross multiply
    588.24x = 878.40 × 480.24
  4. Step 4: Simplify right side
    588.24x = 421,842.82
  5. Step 5: Solve for x
    x = 421,842.82/588.24
  6. Step 6: Final answer
    x = 717.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.