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Finding the Fourth Proportional to 362.44, 544.35 and 225.74

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Solution

The fourth proportional to 362.44, 544.35 and 225.74 is: 339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.44 : 544.35 = 225.74 : x
  2. Step 2: Convert to fraction form
    362.44/544.35 = 225.74/x
  3. Step 3: Cross multiply
    362.44x = 544.35 × 225.74
  4. Step 4: Simplify right side
    362.44x = 122,881.57
  5. Step 5: Solve for x
    x = 122,881.57/362.44
  6. Step 6: Final answer
    x = 339.04

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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.