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Finding the Fourth Proportional to 322.91, 484.35 and 130.53

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Solution

The fourth proportional to 322.91, 484.35 and 130.53 is: 195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.91 : 484.35 = 130.53 : x
  2. Step 2: Convert to fraction form
    322.91/484.35 = 130.53/x
  3. Step 3: Cross multiply
    322.91x = 484.35 × 130.53
  4. Step 4: Simplify right side
    322.91x = 63,222.21
  5. Step 5: Solve for x
    x = 63,222.21/322.91
  6. Step 6: Final answer
    x = 195.79

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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.