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Finding the Fourth Proportional to 329.13, 493.24 and 286.30

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Solution

The fourth proportional to 329.13, 493.24 and 286.30 is: 429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.13 : 493.24 = 286.30 : x
  2. Step 2: Convert to fraction form
    329.13/493.24 = 286.30/x
  3. Step 3: Cross multiply
    329.13x = 493.24 × 286.30
  4. Step 4: Simplify right side
    329.13x = 141,214.61
  5. Step 5: Solve for x
    x = 141,214.61/329.13
  6. Step 6: Final answer
    x = 429.05

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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.