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Finding the Fourth Proportional to 340.69, 511.38 and 230.65

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Solution

The fourth proportional to 340.69, 511.38 and 230.65 is: 346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.69 : 511.38 = 230.65 : x
  2. Step 2: Convert to fraction form
    340.69/511.38 = 230.65/x
  3. Step 3: Cross multiply
    340.69x = 511.38 × 230.65
  4. Step 4: Simplify right side
    340.69x = 117,948.64
  5. Step 5: Solve for x
    x = 117,948.64/340.69
  6. Step 6: Final answer
    x = 346.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.