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Finding the Fourth Proportional to 588.20, 883.20 and 406.40

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Solution

The fourth proportional to 588.20, 883.20 and 406.40 is: 610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.20 : 883.20 = 406.40 : x
  2. Step 2: Convert to fraction form
    588.20/883.20 = 406.40/x
  3. Step 3: Cross multiply
    588.20x = 883.20 × 406.40
  4. Step 4: Simplify right side
    588.20x = 358,932.48
  5. Step 5: Solve for x
    x = 358,932.48/588.20
  6. Step 6: Final answer
    x = 610.22

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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.