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Finding the Fourth Proportional to 595.20, 892.49 and 230.09

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Solution

The fourth proportional to 595.20, 892.49 and 230.09 is: 345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.20 : 892.49 = 230.09 : x
  2. Step 2: Convert to fraction form
    595.20/892.49 = 230.09/x
  3. Step 3: Cross multiply
    595.20x = 892.49 × 230.09
  4. Step 4: Simplify right side
    595.20x = 205,355.83
  5. Step 5: Solve for x
    x = 205,355.83/595.20
  6. Step 6: Final answer
    x = 345.02

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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.