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Finding the Fourth Proportional to 588.80, 882.06 and 457.13

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Solution

The fourth proportional to 588.80, 882.06 and 457.13 is: 684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.80 : 882.06 = 457.13 : x
  2. Step 2: Convert to fraction form
    588.80/882.06 = 457.13/x
  3. Step 3: Cross multiply
    588.80x = 882.06 × 457.13
  4. Step 4: Simplify right side
    588.80x = 403,211.68
  5. Step 5: Solve for x
    x = 403,211.68/588.80
  6. Step 6: Final answer
    x = 684.80

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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.