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Finding the Fourth Proportional to 382.49, 574.14 and 286.91

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Solution

The fourth proportional to 382.49, 574.14 and 286.91 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.49 : 574.14 = 286.91 : x
  2. Step 2: Convert to fraction form
    382.49/574.14 = 286.91/x
  3. Step 3: Cross multiply
    382.49x = 574.14 × 286.91
  4. Step 4: Simplify right side
    382.49x = 164,723.64
  5. Step 5: Solve for x
    x = 164,723.64/382.49
  6. Step 6: Final answer
    x = 430.67

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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.