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Finding the Fourth Proportional to 340.14, 511.92 and 306.60

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Solution

The fourth proportional to 340.14, 511.92 and 306.60 is: 461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 511.92 = 306.60 : x
  2. Step 2: Convert to fraction form
    340.14/511.92 = 306.60/x
  3. Step 3: Cross multiply
    340.14x = 511.92 × 306.60
  4. Step 4: Simplify right side
    340.14x = 156,954.67
  5. Step 5: Solve for x
    x = 156,954.67/340.14
  6. Step 6: Final answer
    x = 461.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.