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Finding the Fourth Proportional to 588.28, 880.62 and 414.96

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Solution

The fourth proportional to 588.28, 880.62 and 414.96 is: 621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.28 : 880.62 = 414.96 : x
  2. Step 2: Convert to fraction form
    588.28/880.62 = 414.96/x
  3. Step 3: Cross multiply
    588.28x = 880.62 × 414.96
  4. Step 4: Simplify right side
    588.28x = 365,422.08
  5. Step 5: Solve for x
    x = 365,422.08/588.28
  6. Step 6: Final answer
    x = 621.17

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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.