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Finding the Fourth Proportional to 591.25, 886.95 and 180.43

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Solution

The fourth proportional to 591.25, 886.95 and 180.43 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.25 : 886.95 = 180.43 : x
  2. Step 2: Convert to fraction form
    591.25/886.95 = 180.43/x
  3. Step 3: Cross multiply
    591.25x = 886.95 × 180.43
  4. Step 4: Simplify right side
    591.25x = 160,030.17
  5. Step 5: Solve for x
    x = 160,030.17/591.25
  6. Step 6: Final answer
    x = 270.66

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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.