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Finding the Fourth Proportional to 340.40, 511.14 and 268.04

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Solution

The fourth proportional to 340.40, 511.14 and 268.04 is: 402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 511.14 = 268.04 : x
  2. Step 2: Convert to fraction form
    340.40/511.14 = 268.04/x
  3. Step 3: Cross multiply
    340.40x = 511.14 × 268.04
  4. Step 4: Simplify right side
    340.40x = 137,005.97
  5. Step 5: Solve for x
    x = 137,005.97/340.40
  6. Step 6: Final answer
    x = 402.49

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Why These Related Problems?

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