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Finding the Fourth Proportional to 590.92, 886.26 and 180.08

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Solution

The fourth proportional to 590.92, 886.26 and 180.08 is: 270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.92 : 886.26 = 180.08 : x
  2. Step 2: Convert to fraction form
    590.92/886.26 = 180.08/x
  3. Step 3: Cross multiply
    590.92x = 886.26 × 180.08
  4. Step 4: Simplify right side
    590.92x = 159,597.70
  5. Step 5: Solve for x
    x = 159,597.70/590.92
  6. Step 6: Final answer
    x = 270.08

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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.