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Finding the Fourth Proportional to 341.92, 470.64 and 254.40

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Solution

The fourth proportional to 341.92, 470.64 and 254.40 is: 350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.92 : 470.64 = 254.40 : x
  2. Step 2: Convert to fraction form
    341.92/470.64 = 254.40/x
  3. Step 3: Cross multiply
    341.92x = 470.64 × 254.40
  4. Step 4: Simplify right side
    341.92x = 119,730.82
  5. Step 5: Solve for x
    x = 119,730.82/341.92
  6. Step 6: Final answer
    x = 350.17

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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.