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Finding the Fourth Proportional to 484.14, 725.99 and 175.78

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Solution

The fourth proportional to 484.14, 725.99 and 175.78 is: 263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.14 : 725.99 = 175.78 : x
  2. Step 2: Convert to fraction form
    484.14/725.99 = 175.78/x
  3. Step 3: Cross multiply
    484.14x = 725.99 × 175.78
  4. Step 4: Simplify right side
    484.14x = 127,613.64
  5. Step 5: Solve for x
    x = 127,613.64/484.14
  6. Step 6: Final answer
    x = 263.59

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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.