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Finding the Fourth Proportional to 481.65, 722.17 and 265.38

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Solution

The fourth proportional to 481.65, 722.17 and 265.38 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.65 : 722.17 = 265.38 : x
  2. Step 2: Convert to fraction form
    481.65/722.17 = 265.38/x
  3. Step 3: Cross multiply
    481.65x = 722.17 × 265.38
  4. Step 4: Simplify right side
    481.65x = 191,651.91
  5. Step 5: Solve for x
    x = 191,651.91/481.65
  6. Step 6: Final answer
    x = 397.91

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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.