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Finding the Fourth Proportional to 341.30, 511.92 and 272.94

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Solution

The fourth proportional to 341.30, 511.92 and 272.94 is: 409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.30 : 511.92 = 272.94 : x
  2. Step 2: Convert to fraction form
    341.30/511.92 = 272.94/x
  3. Step 3: Cross multiply
    341.30x = 511.92 × 272.94
  4. Step 4: Simplify right side
    341.30x = 139,723.44
  5. Step 5: Solve for x
    x = 139,723.44/341.30
  6. Step 6: Final answer
    x = 409.39

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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.