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Finding the Fourth Proportional to 341.31, 471.20 and 263.91

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Solution

The fourth proportional to 341.31, 471.20 and 263.91 is: 364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.31 : 471.20 = 263.91 : x
  2. Step 2: Convert to fraction form
    341.31/471.20 = 263.91/x
  3. Step 3: Cross multiply
    341.31x = 471.20 × 263.91
  4. Step 4: Simplify right side
    341.31x = 124,353.07
  5. Step 5: Solve for x
    x = 124,353.07/341.31
  6. Step 6: Final answer
    x = 364.34

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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.