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Finding the Fourth Proportional to 588.07, 882.11 and 404.91

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Solution

The fourth proportional to 588.07, 882.11 and 404.91 is: 607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.07 : 882.11 = 404.91 : x
  2. Step 2: Convert to fraction form
    588.07/882.11 = 404.91/x
  3. Step 3: Cross multiply
    588.07x = 882.11 × 404.91
  4. Step 4: Simplify right side
    588.07x = 357,175.16
  5. Step 5: Solve for x
    x = 357,175.16/588.07
  6. Step 6: Final answer
    x = 607.37

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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.