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Finding the Fourth Proportional to 588.47, 882.09 and 471.83

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Solution

The fourth proportional to 588.47, 882.09 and 471.83 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.47 : 882.09 = 471.83 : x
  2. Step 2: Convert to fraction form
    588.47/882.09 = 471.83/x
  3. Step 3: Cross multiply
    588.47x = 882.09 × 471.83
  4. Step 4: Simplify right side
    588.47x = 416,192.11
  5. Step 5: Solve for x
    x = 416,192.11/588.47
  6. Step 6: Final answer
    x = 707.25

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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.