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Finding the Fourth Proportional to 588.28, 811.80 and 339.76

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Solution

The fourth proportional to 588.28, 811.80 and 339.76 is: 468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.28 : 811.80 = 339.76 : x
  2. Step 2: Convert to fraction form
    588.28/811.80 = 339.76/x
  3. Step 3: Cross multiply
    588.28x = 811.80 × 339.76
  4. Step 4: Simplify right side
    588.28x = 275,817.17
  5. Step 5: Solve for x
    x = 275,817.17/588.28
  6. Step 6: Final answer
    x = 468.85

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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.