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Finding the Fourth Proportional to 494.46, 740.70 and 230.56

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Solution

The fourth proportional to 494.46, 740.70 and 230.56 is: 345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.46 : 740.70 = 230.56 : x
  2. Step 2: Convert to fraction form
    494.46/740.70 = 230.56/x
  3. Step 3: Cross multiply
    494.46x = 740.70 × 230.56
  4. Step 4: Simplify right side
    494.46x = 170,773.94
  5. Step 5: Solve for x
    x = 170,773.94/494.46
  6. Step 6: Final answer
    x = 345.37

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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.