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Finding the Fourth Proportional to 591.33, 885.60 and 461.04

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Solution

The fourth proportional to 591.33, 885.60 and 461.04 is: 690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.33 : 885.60 = 461.04 : x
  2. Step 2: Convert to fraction form
    591.33/885.60 = 461.04/x
  3. Step 3: Cross multiply
    591.33x = 885.60 × 461.04
  4. Step 4: Simplify right side
    591.33x = 408,297.02
  5. Step 5: Solve for x
    x = 408,297.02/591.33
  6. Step 6: Final answer
    x = 690.47

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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.