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Finding the Fourth Proportional to 341.67, 471.57 and 275.97

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Solution

The fourth proportional to 341.67, 471.57 and 275.97 is: 380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.67 : 471.57 = 275.97 : x
  2. Step 2: Convert to fraction form
    341.67/471.57 = 275.97/x
  3. Step 3: Cross multiply
    341.67x = 471.57 × 275.97
  4. Step 4: Simplify right side
    341.67x = 130,139.17
  5. Step 5: Solve for x
    x = 130,139.17/341.67
  6. Step 6: Final answer
    x = 380.89

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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.