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Finding the Fourth Proportional to 588.29, 882.86 and 402.74

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Solution

The fourth proportional to 588.29, 882.86 and 402.74 is: 604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.29 : 882.86 = 402.74 : x
  2. Step 2: Convert to fraction form
    588.29/882.86 = 402.74/x
  3. Step 3: Cross multiply
    588.29x = 882.86 × 402.74
  4. Step 4: Simplify right side
    588.29x = 355,566.25
  5. Step 5: Solve for x
    x = 355,566.25/588.29
  6. Step 6: Final answer
    x = 604.41

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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.