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Finding the Fourth Proportional to 538.65, 806.52 and 281.61

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Solution

The fourth proportional to 538.65, 806.52 and 281.61 is: 421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.65 : 806.52 = 281.61 : x
  2. Step 2: Convert to fraction form
    538.65/806.52 = 281.61/x
  3. Step 3: Cross multiply
    538.65x = 806.52 × 281.61
  4. Step 4: Simplify right side
    538.65x = 227,124.10
  5. Step 5: Solve for x
    x = 227,124.10/538.65
  6. Step 6: Final answer
    x = 421.65

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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.