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Finding the Fourth Proportional to 363.04, 544.24 and 189.76

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Solution

The fourth proportional to 363.04, 544.24 and 189.76 is: 284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.04 : 544.24 = 189.76 : x
  2. Step 2: Convert to fraction form
    363.04/544.24 = 189.76/x
  3. Step 3: Cross multiply
    363.04x = 544.24 × 189.76
  4. Step 4: Simplify right side
    363.04x = 103,274.98
  5. Step 5: Solve for x
    x = 103,274.98/363.04
  6. Step 6: Final answer
    x = 284.47

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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.