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Finding the Fourth Proportional to 842.96, 1,264.76 and 330.32

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Solution

The fourth proportional to 842.96, 1,264.76 and 330.32 is: 495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.96 : 1,264.76 = 330.32 : x
  2. Step 2: Convert to fraction form
    842.96/1,264.76 = 330.32/x
  3. Step 3: Cross multiply
    842.96x = 1,264.76 × 330.32
  4. Step 4: Simplify right side
    842.96x = 417,775.52
  5. Step 5: Solve for x
    x = 417,775.52/842.96
  6. Step 6: Final answer
    x = 495.61

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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.