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Finding the Fourth Proportional to 484.10, 726.47 and 301.62

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Solution

The fourth proportional to 484.10, 726.47 and 301.62 is: 452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.10 : 726.47 = 301.62 : x
  2. Step 2: Convert to fraction form
    484.10/726.47 = 301.62/x
  3. Step 3: Cross multiply
    484.10x = 726.47 × 301.62
  4. Step 4: Simplify right side
    484.10x = 219,117.88
  5. Step 5: Solve for x
    x = 219,117.88/484.10
  6. Step 6: Final answer
    x = 452.63

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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.