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Finding the Fourth Proportional to 363.84, 501.12 and 308.40

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Solution

The fourth proportional to 363.84, 501.12 and 308.40 is: 424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 501.12 = 308.40 : x
  2. Step 2: Convert to fraction form
    363.84/501.12 = 308.40/x
  3. Step 3: Cross multiply
    363.84x = 501.12 × 308.40
  4. Step 4: Simplify right side
    363.84x = 154,545.41
  5. Step 5: Solve for x
    x = 154,545.41/363.84
  6. Step 6: Final answer
    x = 424.76

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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.