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Finding the Fourth Proportional to 892.81, 1,339.22 and 315.68

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Solution

The fourth proportional to 892.81, 1,339.22 and 315.68 is: 473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.81 : 1,339.22 = 315.68 : x
  2. Step 2: Convert to fraction form
    892.81/1,339.22 = 315.68/x
  3. Step 3: Cross multiply
    892.81x = 1,339.22 × 315.68
  4. Step 4: Simplify right side
    892.81x = 422,763.39
  5. Step 5: Solve for x
    x = 422,763.39/892.81
  6. Step 6: Final answer
    x = 473.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.