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Finding the Fourth Proportional to 588.63, 883.15 and 177.76

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Solution

The fourth proportional to 588.63, 883.15 and 177.76 is: 266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.63 : 883.15 = 177.76 : x
  2. Step 2: Convert to fraction form
    588.63/883.15 = 177.76/x
  3. Step 3: Cross multiply
    588.63x = 883.15 × 177.76
  4. Step 4: Simplify right side
    588.63x = 156,990.40
  5. Step 5: Solve for x
    x = 156,990.40/588.63
  6. Step 6: Final answer
    x = 266.70

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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.