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Finding the Fourth Proportional to 341.20, 469.92 and 263.44

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Solution

The fourth proportional to 341.20, 469.92 and 263.44 is: 362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.20 : 469.92 = 263.44 : x
  2. Step 2: Convert to fraction form
    341.20/469.92 = 263.44/x
  3. Step 3: Cross multiply
    341.20x = 469.92 × 263.44
  4. Step 4: Simplify right side
    341.20x = 123,795.72
  5. Step 5: Solve for x
    x = 123,795.72/341.20
  6. Step 6: Final answer
    x = 362.82

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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.