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Finding the Fourth Proportional to 591.38, 887.75 and 461.52

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Solution

The fourth proportional to 591.38, 887.75 and 461.52 is: 692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.38 : 887.75 = 461.52 : x
  2. Step 2: Convert to fraction form
    591.38/887.75 = 461.52/x
  3. Step 3: Cross multiply
    591.38x = 887.75 × 461.52
  4. Step 4: Simplify right side
    591.38x = 409,712.07
  5. Step 5: Solve for x
    x = 409,712.07/591.38
  6. Step 6: Final answer
    x = 692.81

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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.