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Finding the Fourth Proportional to 348.16, 481.92 and 341.76

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Solution

The fourth proportional to 348.16, 481.92 and 341.76 is: 473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 481.92 = 341.76 : x
  2. Step 2: Convert to fraction form
    348.16/481.92 = 341.76/x
  3. Step 3: Cross multiply
    348.16x = 481.92 × 341.76
  4. Step 4: Simplify right side
    348.16x = 164,700.98
  5. Step 5: Solve for x
    x = 164,700.98/348.16
  6. Step 6: Final answer
    x = 473.06

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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.