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Finding the Fourth Proportional to 382.16, 527.10 and 296.68

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Solution

The fourth proportional to 382.16, 527.10 and 296.68 is: 409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 527.10 = 296.68 : x
  2. Step 2: Convert to fraction form
    382.16/527.10 = 296.68/x
  3. Step 3: Cross multiply
    382.16x = 527.10 × 296.68
  4. Step 4: Simplify right side
    382.16x = 156,377.39
  5. Step 5: Solve for x
    x = 156,377.39/382.16
  6. Step 6: Final answer
    x = 409.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.