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Finding the Fourth Proportional to 363.06, 543.69 and 259.92

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Solution

The fourth proportional to 363.06, 543.69 and 259.92 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.06 : 543.69 = 259.92 : x
  2. Step 2: Convert to fraction form
    363.06/543.69 = 259.92/x
  3. Step 3: Cross multiply
    363.06x = 543.69 × 259.92
  4. Step 4: Simplify right side
    363.06x = 141,315.90
  5. Step 5: Solve for x
    x = 141,315.90/363.06
  6. Step 6: Final answer
    x = 389.24

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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.