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Finding the Fourth Proportional to 328.30, 452.28 and 229.88

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Solution

The fourth proportional to 328.30, 452.28 and 229.88 is: 316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.30 : 452.28 = 229.88 : x
  2. Step 2: Convert to fraction form
    328.30/452.28 = 229.88/x
  3. Step 3: Cross multiply
    328.30x = 452.28 × 229.88
  4. Step 4: Simplify right side
    328.30x = 103,970.13
  5. Step 5: Solve for x
    x = 103,970.13/328.30
  6. Step 6: Final answer
    x = 316.69

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