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Finding the Fourth Proportional to 341.53, 470.47 and 271.57

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Solution

The fourth proportional to 341.53, 470.47 and 271.57 is: 374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.53 : 470.47 = 271.57 : x
  2. Step 2: Convert to fraction form
    341.53/470.47 = 271.57/x
  3. Step 3: Cross multiply
    341.53x = 470.47 × 271.57
  4. Step 4: Simplify right side
    341.53x = 127,765.54
  5. Step 5: Solve for x
    x = 127,765.54/341.53
  6. Step 6: Final answer
    x = 374.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.