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Finding the Fourth Proportional to 591.33, 885.13 and 461.70

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Solution

The fourth proportional to 591.33, 885.13 and 461.70 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.33 : 885.13 = 461.70 : x
  2. Step 2: Convert to fraction form
    591.33/885.13 = 461.70/x
  3. Step 3: Cross multiply
    591.33x = 885.13 × 461.70
  4. Step 4: Simplify right side
    591.33x = 408,663.37
  5. Step 5: Solve for x
    x = 408,663.37/591.33
  6. Step 6: Final answer
    x = 691.09

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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.