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Finding the Fourth Proportional to 588.10, 880.72 and 382.04

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Solution

The fourth proportional to 588.10, 880.72 and 382.04 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.10 : 880.72 = 382.04 : x
  2. Step 2: Convert to fraction form
    588.10/880.72 = 382.04/x
  3. Step 3: Cross multiply
    588.10x = 880.72 × 382.04
  4. Step 4: Simplify right side
    588.10x = 336,470.27
  5. Step 5: Solve for x
    x = 336,470.27/588.10
  6. Step 6: Final answer
    x = 572.13

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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.