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Finding the Fourth Proportional to 588.30, 882.45 and 177.44

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Solution

The fourth proportional to 588.30, 882.45 and 177.44 is: 266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.30 : 882.45 = 177.44 : x
  2. Step 2: Convert to fraction form
    588.30/882.45 = 177.44/x
  3. Step 3: Cross multiply
    588.30x = 882.45 × 177.44
  4. Step 4: Simplify right side
    588.30x = 156,581.93
  5. Step 5: Solve for x
    x = 156,581.93/588.30
  6. Step 6: Final answer
    x = 266.16

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Double scale
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Similar ratio
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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.