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Finding the Fourth Proportional to 379.12, 565.04 and 363.04

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Solution

The fourth proportional to 379.12, 565.04 and 363.04 is: 541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.12 : 565.04 = 363.04 : x
  2. Step 2: Convert to fraction form
    379.12/565.04 = 363.04/x
  3. Step 3: Cross multiply
    379.12x = 565.04 × 363.04
  4. Step 4: Simplify right side
    379.12x = 205,132.12
  5. Step 5: Solve for x
    x = 205,132.12/379.12
  6. Step 6: Final answer
    x = 541.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.