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Finding the Fourth Proportional to 595.06, 892.33 and 229.59

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Solution

The fourth proportional to 595.06, 892.33 and 229.59 is: 344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.06 : 892.33 = 229.59 : x
  2. Step 2: Convert to fraction form
    595.06/892.33 = 229.59/x
  3. Step 3: Cross multiply
    595.06x = 892.33 × 229.59
  4. Step 4: Simplify right side
    595.06x = 204,873.10
  5. Step 5: Solve for x
    x = 204,873.10/595.06
  6. Step 6: Final answer
    x = 344.29

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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.