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Finding the Fourth Proportional to 484.06, 725.43 and 223.49

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Solution

The fourth proportional to 484.06, 725.43 and 223.49 is: 334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.06 : 725.43 = 223.49 : x
  2. Step 2: Convert to fraction form
    484.06/725.43 = 223.49/x
  3. Step 3: Cross multiply
    484.06x = 725.43 × 223.49
  4. Step 4: Simplify right side
    484.06x = 162,126.35
  5. Step 5: Solve for x
    x = 162,126.35/484.06
  6. Step 6: Final answer
    x = 334.93

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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.