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Finding the Fourth Proportional to 588.73, 882.75 and 177.74

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Solution

The fourth proportional to 588.73, 882.75 and 177.74 is: 266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.73 : 882.75 = 177.74 : x
  2. Step 2: Convert to fraction form
    588.73/882.75 = 177.74/x
  3. Step 3: Cross multiply
    588.73x = 882.75 × 177.74
  4. Step 4: Simplify right side
    588.73x = 156,902.86
  5. Step 5: Solve for x
    x = 156,902.86/588.73
  6. Step 6: Final answer
    x = 266.51

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1.5x scale

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.