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Finding the Fourth Proportional to 595.57, 892.83 and 230.11

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Solution

The fourth proportional to 595.57, 892.83 and 230.11 is: 344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.57 : 892.83 = 230.11 : x
  2. Step 2: Convert to fraction form
    595.57/892.83 = 230.11/x
  3. Step 3: Cross multiply
    595.57x = 892.83 × 230.11
  4. Step 4: Simplify right side
    595.57x = 205,449.11
  5. Step 5: Solve for x
    x = 205,449.11/595.57
  6. Step 6: Final answer
    x = 344.96

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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.