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Finding the Fourth Proportional to 381.96, 574.14 and 362.76

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Solution

The fourth proportional to 381.96, 574.14 and 362.76 is: 545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 574.14 = 362.76 : x
  2. Step 2: Convert to fraction form
    381.96/574.14 = 362.76/x
  3. Step 3: Cross multiply
    381.96x = 574.14 × 362.76
  4. Step 4: Simplify right side
    381.96x = 208,275.03
  5. Step 5: Solve for x
    x = 208,275.03/381.96
  6. Step 6: Final answer
    x = 545.28

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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.