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Finding the Fourth Proportional to 340.60, 467.18 and 320.76

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Solution

The fourth proportional to 340.60, 467.18 and 320.76 is: 439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.60 : 467.18 = 320.76 : x
  2. Step 2: Convert to fraction form
    340.60/467.18 = 320.76/x
  3. Step 3: Cross multiply
    340.60x = 467.18 × 320.76
  4. Step 4: Simplify right side
    340.60x = 149,849.52
  5. Step 5: Solve for x
    x = 149,849.52/340.60
  6. Step 6: Final answer
    x = 439.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.