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Finding the Fourth Proportional to 341.92, 468.79 and 338.32

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Solution

The fourth proportional to 341.92, 468.79 and 338.32 is: 463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.92 : 468.79 = 338.32 : x
  2. Step 2: Convert to fraction form
    341.92/468.79 = 338.32/x
  3. Step 3: Cross multiply
    341.92x = 468.79 × 338.32
  4. Step 4: Simplify right side
    341.92x = 158,601.03
  5. Step 5: Solve for x
    x = 158,601.03/341.92
  6. Step 6: Final answer
    x = 463.85

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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.