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Finding the Fourth Proportional to 588.46, 882.89 and 423.62

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Solution

The fourth proportional to 588.46, 882.89 and 423.62 is: 635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.46 : 882.89 = 423.62 : x
  2. Step 2: Convert to fraction form
    588.46/882.89 = 423.62/x
  3. Step 3: Cross multiply
    588.46x = 882.89 × 423.62
  4. Step 4: Simplify right side
    588.46x = 374,009.86
  5. Step 5: Solve for x
    x = 374,009.86/588.46
  6. Step 6: Final answer
    x = 635.57

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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.