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Finding the Fourth Proportional to 341.69, 470.76 and 254.21

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Solution

The fourth proportional to 341.69, 470.76 and 254.21 is: 350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.69 : 470.76 = 254.21 : x
  2. Step 2: Convert to fraction form
    341.69/470.76 = 254.21/x
  3. Step 3: Cross multiply
    341.69x = 470.76 × 254.21
  4. Step 4: Simplify right side
    341.69x = 119,671.90
  5. Step 5: Solve for x
    x = 119,671.90/341.69
  6. Step 6: Final answer
    x = 350.24

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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.