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Finding the Fourth Proportional to 493.86, 681.20 and 316.86

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Solution

The fourth proportional to 493.86, 681.20 and 316.86 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.86 : 681.20 = 316.86 : x
  2. Step 2: Convert to fraction form
    493.86/681.20 = 316.86/x
  3. Step 3: Cross multiply
    493.86x = 681.20 × 316.86
  4. Step 4: Simplify right side
    493.86x = 215,845.03
  5. Step 5: Solve for x
    x = 215,845.03/493.86
  6. Step 6: Final answer
    x = 437.06

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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.