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Finding the Fourth Proportional to 341.92, 512.16 and 260.56

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Solution

The fourth proportional to 341.92, 512.16 and 260.56 is: 390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.92 : 512.16 = 260.56 : x
  2. Step 2: Convert to fraction form
    341.92/512.16 = 260.56/x
  3. Step 3: Cross multiply
    341.92x = 512.16 × 260.56
  4. Step 4: Simplify right side
    341.92x = 133,448.41
  5. Step 5: Solve for x
    x = 133,448.41/341.92
  6. Step 6: Final answer
    x = 390.29

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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.