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Finding the Fourth Proportional to 347.28, 518.67 and 314.72

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Solution

The fourth proportional to 347.28, 518.67 and 314.72 is: 470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.28 : 518.67 = 314.72 : x
  2. Step 2: Convert to fraction form
    347.28/518.67 = 314.72/x
  3. Step 3: Cross multiply
    347.28x = 518.67 × 314.72
  4. Step 4: Simplify right side
    347.28x = 163,235.82
  5. Step 5: Solve for x
    x = 163,235.82/347.28
  6. Step 6: Final answer
    x = 470.04

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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.