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Finding the Fourth Proportional to 340.91, 470.63 and 252.62

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Solution

The fourth proportional to 340.91, 470.63 and 252.62 is: 348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.91 : 470.63 = 252.62 : x
  2. Step 2: Convert to fraction form
    340.91/470.63 = 252.62/x
  3. Step 3: Cross multiply
    340.91x = 470.63 × 252.62
  4. Step 4: Simplify right side
    340.91x = 118,886.93
  5. Step 5: Solve for x
    x = 118,886.93/340.91
  6. Step 6: Final answer
    x = 348.74

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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.