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Finding the Fourth Proportional to 324.64, 487.14 and 322.15

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Solution

The fourth proportional to 324.64, 487.14 and 322.15 is: 483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.64 : 487.14 = 322.15 : x
  2. Step 2: Convert to fraction form
    324.64/487.14 = 322.15/x
  3. Step 3: Cross multiply
    324.64x = 487.14 × 322.15
  4. Step 4: Simplify right side
    324.64x = 156,932.15
  5. Step 5: Solve for x
    x = 156,932.15/324.64
  6. Step 6: Final answer
    x = 483.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.