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Finding the Fourth Proportional to 588.20, 811.60 and 355.32

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Solution

The fourth proportional to 588.20, 811.60 and 355.32 is: 490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.20 : 811.60 = 355.32 : x
  2. Step 2: Convert to fraction form
    588.20/811.60 = 355.32/x
  3. Step 3: Cross multiply
    588.20x = 811.60 × 355.32
  4. Step 4: Simplify right side
    588.20x = 288,377.71
  5. Step 5: Solve for x
    x = 288,377.71/588.20
  6. Step 6: Final answer
    x = 490.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.