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Finding the Fourth Proportional to 340.32, 469.68 and 200.44

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Solution

The fourth proportional to 340.32, 469.68 and 200.44 is: 276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.32 : 469.68 = 200.44 : x
  2. Step 2: Convert to fraction form
    340.32/469.68 = 200.44/x
  3. Step 3: Cross multiply
    340.32x = 469.68 × 200.44
  4. Step 4: Simplify right side
    340.32x = 94,142.66
  5. Step 5: Solve for x
    x = 94,142.66/340.32
  6. Step 6: Final answer
    x = 276.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.