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Finding the Fourth Proportional to 519.40, 778.38 and 314.02

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Solution

The fourth proportional to 519.40, 778.38 and 314.02 is: 470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.40 : 778.38 = 314.02 : x
  2. Step 2: Convert to fraction form
    519.40/778.38 = 314.02/x
  3. Step 3: Cross multiply
    519.40x = 778.38 × 314.02
  4. Step 4: Simplify right side
    519.40x = 244,426.89
  5. Step 5: Solve for x
    x = 244,426.89/519.40
  6. Step 6: Final answer
    x = 470.59

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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.