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Finding the Fourth Proportional to 297.47, 446.58 and 232.57

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Solution

The fourth proportional to 297.47, 446.58 and 232.57 is: 349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.47 : 446.58 = 232.57 : x
  2. Step 2: Convert to fraction form
    297.47/446.58 = 232.57/x
  3. Step 3: Cross multiply
    297.47x = 446.58 × 232.57
  4. Step 4: Simplify right side
    297.47x = 103,861.67
  5. Step 5: Solve for x
    x = 103,861.67/297.47
  6. Step 6: Final answer
    x = 349.15

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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.