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Finding the Fourth Proportional to 382.74, 575.22 and 318.14

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Solution

The fourth proportional to 382.74, 575.22 and 318.14 is: 478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.74 : 575.22 = 318.14 : x
  2. Step 2: Convert to fraction form
    382.74/575.22 = 318.14/x
  3. Step 3: Cross multiply
    382.74x = 575.22 × 318.14
  4. Step 4: Simplify right side
    382.74x = 183,000.49
  5. Step 5: Solve for x
    x = 183,000.49/382.74
  6. Step 6: Final answer
    x = 478.13

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Why These Related Problems?

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