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Finding the Fourth Proportional to 493.71, 681.42 and 297.29

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Solution

The fourth proportional to 493.71, 681.42 and 297.29 is: 410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.71 : 681.42 = 297.29 : x
  2. Step 2: Convert to fraction form
    493.71/681.42 = 297.29/x
  3. Step 3: Cross multiply
    493.71x = 681.42 × 297.29
  4. Step 4: Simplify right side
    493.71x = 202,575.94
  5. Step 5: Solve for x
    x = 202,575.94/493.71
  6. Step 6: Final answer
    x = 410.31

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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.