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Finding the Fourth Proportional to 484.78, 726.09 and 473.98

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Solution

The fourth proportional to 484.78, 726.09 and 473.98 is: 709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.78 : 726.09 = 473.98 : x
  2. Step 2: Convert to fraction form
    484.78/726.09 = 473.98/x
  3. Step 3: Cross multiply
    484.78x = 726.09 × 473.98
  4. Step 4: Simplify right side
    484.78x = 344,152.14
  5. Step 5: Solve for x
    x = 344,152.14/484.78
  6. Step 6: Final answer
    x = 709.91

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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.