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Finding the Fourth Proportional to 591.54, 887.73 and 409.15

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Solution

The fourth proportional to 591.54, 887.73 and 409.15 is: 614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.54 : 887.73 = 409.15 : x
  2. Step 2: Convert to fraction form
    591.54/887.73 = 409.15/x
  3. Step 3: Cross multiply
    591.54x = 887.73 × 409.15
  4. Step 4: Simplify right side
    591.54x = 363,214.73
  5. Step 5: Solve for x
    x = 363,214.73/591.54
  6. Step 6: Final answer
    x = 614.02

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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.