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Finding the Fourth Proportional to 493.84, 681 and 353.71

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Solution

The fourth proportional to 493.84, 681 and 353.71 is: 487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.84 : 681 = 353.71 : x
  2. Step 2: Convert to fraction form
    493.84/681 = 353.71/x
  3. Step 3: Cross multiply
    493.84x = 681 × 353.71
  4. Step 4: Simplify right side
    493.84x = 240,876.51
  5. Step 5: Solve for x
    x = 240,876.51/493.84
  6. Step 6: Final answer
    x = 487.76

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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.