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Finding the Fourth Proportional to 588.48, 882.76 and 177.64

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Solution

The fourth proportional to 588.48, 882.76 and 177.64 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 882.76 = 177.64 : x
  2. Step 2: Convert to fraction form
    588.48/882.76 = 177.64/x
  3. Step 3: Cross multiply
    588.48x = 882.76 × 177.64
  4. Step 4: Simplify right side
    588.48x = 156,813.49
  5. Step 5: Solve for x
    x = 156,813.49/588.48
  6. Step 6: Final answer
    x = 266.47

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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.