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Finding the Fourth Proportional to 340.39, 509.77 and 271.97

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Solution

The fourth proportional to 340.39, 509.77 and 271.97 is: 407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.39 : 509.77 = 271.97 : x
  2. Step 2: Convert to fraction form
    340.39/509.77 = 271.97/x
  3. Step 3: Cross multiply
    340.39x = 509.77 × 271.97
  4. Step 4: Simplify right side
    340.39x = 138,642.15
  5. Step 5: Solve for x
    x = 138,642.15/340.39
  6. Step 6: Final answer
    x = 407.30

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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.