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Finding the Fourth Proportional to 591.23, 886.62 and 180.24

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Solution

The fourth proportional to 591.23, 886.62 and 180.24 is: 270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.23 : 886.62 = 180.24 : x
  2. Step 2: Convert to fraction form
    591.23/886.62 = 180.24/x
  3. Step 3: Cross multiply
    591.23x = 886.62 × 180.24
  4. Step 4: Simplify right side
    591.23x = 159,804.39
  5. Step 5: Solve for x
    x = 159,804.39/591.23
  6. Step 6: Final answer
    x = 270.29

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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.