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Finding the Fourth Proportional to 493.64, 681.23 and 272.61

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Solution

The fourth proportional to 493.64, 681.23 and 272.61 is: 376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.64 : 681.23 = 272.61 : x
  2. Step 2: Convert to fraction form
    493.64/681.23 = 272.61/x
  3. Step 3: Cross multiply
    493.64x = 681.23 × 272.61
  4. Step 4: Simplify right side
    493.64x = 185,710.11
  5. Step 5: Solve for x
    x = 185,710.11/493.64
  6. Step 6: Final answer
    x = 376.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.