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Finding the Fourth Proportional to 493.64, 681.31 and 297.15

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Solution

The fourth proportional to 493.64, 681.31 and 297.15 is: 410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.64 : 681.31 = 297.15 : x
  2. Step 2: Convert to fraction form
    493.64/681.31 = 297.15/x
  3. Step 3: Cross multiply
    493.64x = 681.31 × 297.15
  4. Step 4: Simplify right side
    493.64x = 202,451.27
  5. Step 5: Solve for x
    x = 202,451.27/493.64
  6. Step 6: Final answer
    x = 410.12

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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.