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Finding the Fourth Proportional to 590.22, 885.45 and 179.32

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Solution

The fourth proportional to 590.22, 885.45 and 179.32 is: 269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.22 : 885.45 = 179.32 : x
  2. Step 2: Convert to fraction form
    590.22/885.45 = 179.32/x
  3. Step 3: Cross multiply
    590.22x = 885.45 × 179.32
  4. Step 4: Simplify right side
    590.22x = 158,778.89
  5. Step 5: Solve for x
    x = 158,778.89/590.22
  6. Step 6: Final answer
    x = 269.02

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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.