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Finding the Fourth Proportional to 341.31, 511.21 and 263.86

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Solution

The fourth proportional to 341.31, 511.21 and 263.86 is: 395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.31 : 511.21 = 263.86 : x
  2. Step 2: Convert to fraction form
    341.31/511.21 = 263.86/x
  3. Step 3: Cross multiply
    341.31x = 511.21 × 263.86
  4. Step 4: Simplify right side
    341.31x = 134,886.92
  5. Step 5: Solve for x
    x = 134,886.92/341.31
  6. Step 6: Final answer
    x = 395.20

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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.