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Finding the Fourth Proportional to 591.89, 886.62 and 475.70

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Solution

The fourth proportional to 591.89, 886.62 and 475.70 is: 712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.89 : 886.62 = 475.70 : x
  2. Step 2: Convert to fraction form
    591.89/886.62 = 475.70/x
  3. Step 3: Cross multiply
    591.89x = 886.62 × 475.70
  4. Step 4: Simplify right side
    591.89x = 421,765.13
  5. Step 5: Solve for x
    x = 421,765.13/591.89
  6. Step 6: Final answer
    x = 712.57

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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.