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Finding the Fourth Proportional to 343.36, 512.15 and 320.68

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Solution

The fourth proportional to 343.36, 512.15 and 320.68 is: 478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.36 : 512.15 = 320.68 : x
  2. Step 2: Convert to fraction form
    343.36/512.15 = 320.68/x
  3. Step 3: Cross multiply
    343.36x = 512.15 × 320.68
  4. Step 4: Simplify right side
    343.36x = 164,236.26
  5. Step 5: Solve for x
    x = 164,236.26/343.36
  6. Step 6: Final answer
    x = 478.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.