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Finding the Fourth Proportional to 328, 452.40 and 229.76

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Solution

The fourth proportional to 328, 452.40 and 229.76 is: 316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    328 : 452.40 = 229.76 : x
  2. Step 2: Convert to fraction form
    328/452.40 = 229.76/x
  3. Step 3: Cross multiply
    328x = 452.40 × 229.76
  4. Step 4: Simplify right side
    328x = 103,943.42
  5. Step 5: Solve for x
    x = 103,943.42/328
  6. Step 6: Final answer
    x = 316.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.