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Finding the Fourth Proportional to 842.64, 1,264.16 and 265.52

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Solution

The fourth proportional to 842.64, 1,264.16 and 265.52 is: 398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.64 : 1,264.16 = 265.52 : x
  2. Step 2: Convert to fraction form
    842.64/1,264.16 = 265.52/x
  3. Step 3: Cross multiply
    842.64x = 1,264.16 × 265.52
  4. Step 4: Simplify right side
    842.64x = 335,659.76
  5. Step 5: Solve for x
    x = 335,659.76/842.64
  6. Step 6: Final answer
    x = 398.34

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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.