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Finding the Fourth Proportional to 520.19, 778.89 and 314.46

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Solution

The fourth proportional to 520.19, 778.89 and 314.46 is: 470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.19 : 778.89 = 314.46 : x
  2. Step 2: Convert to fraction form
    520.19/778.89 = 314.46/x
  3. Step 3: Cross multiply
    520.19x = 778.89 × 314.46
  4. Step 4: Simplify right side
    520.19x = 244,929.75
  5. Step 5: Solve for x
    x = 244,929.75/520.19
  6. Step 6: Final answer
    x = 470.85

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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.