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Finding the Fourth Proportional to 353.52, 487.80 and 229.02

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Solution

The fourth proportional to 353.52, 487.80 and 229.02 is: 316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.52 : 487.80 = 229.02 : x
  2. Step 2: Convert to fraction form
    353.52/487.80 = 229.02/x
  3. Step 3: Cross multiply
    353.52x = 487.80 × 229.02
  4. Step 4: Simplify right side
    353.52x = 111,715.96
  5. Step 5: Solve for x
    x = 111,715.96/353.52
  6. Step 6: Final answer
    x = 316.01

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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.