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Finding the Fourth Proportional to 328.20, 452.34 and 229.64

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Solution

The fourth proportional to 328.20, 452.34 and 229.64 is: 316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.20 : 452.34 = 229.64 : x
  2. Step 2: Convert to fraction form
    328.20/452.34 = 229.64/x
  3. Step 3: Cross multiply
    328.20x = 452.34 × 229.64
  4. Step 4: Simplify right side
    328.20x = 103,875.36
  5. Step 5: Solve for x
    x = 103,875.36/328.20
  6. Step 6: Final answer
    x = 316.50

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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.