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Finding the Fourth Proportional to 484.44, 725.56 and 240.42

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Solution

The fourth proportional to 484.44, 725.56 and 240.42 is: 360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.44 : 725.56 = 240.42 : x
  2. Step 2: Convert to fraction form
    484.44/725.56 = 240.42/x
  3. Step 3: Cross multiply
    484.44x = 725.56 × 240.42
  4. Step 4: Simplify right side
    484.44x = 174,439.14
  5. Step 5: Solve for x
    x = 174,439.14/484.44
  6. Step 6: Final answer
    x = 360.08

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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.