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Finding the Fourth Proportional to 595.45, 892.87 and 230.34

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Solution

The fourth proportional to 595.45, 892.87 and 230.34 is: 345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.45 : 892.87 = 230.34 : x
  2. Step 2: Convert to fraction form
    595.45/892.87 = 230.34/x
  3. Step 3: Cross multiply
    595.45x = 892.87 × 230.34
  4. Step 4: Simplify right side
    595.45x = 205,663.68
  5. Step 5: Solve for x
    x = 205,663.68/595.45
  6. Step 6: Final answer
    x = 345.39

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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.