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Finding the Fourth Proportional to 340.38, 509.64 and 268.08

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Solution

The fourth proportional to 340.38, 509.64 and 268.08 is: 401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.38 : 509.64 = 268.08 : x
  2. Step 2: Convert to fraction form
    340.38/509.64 = 268.08/x
  3. Step 3: Cross multiply
    340.38x = 509.64 × 268.08
  4. Step 4: Simplify right side
    340.38x = 136,624.29
  5. Step 5: Solve for x
    x = 136,624.29/340.38
  6. Step 6: Final answer
    x = 401.39

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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.