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Finding the Fourth Proportional to 520.02, 778.14 and 314.73

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Solution

The fourth proportional to 520.02, 778.14 and 314.73 is: 470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 778.14 = 314.73 : x
  2. Step 2: Convert to fraction form
    520.02/778.14 = 314.73/x
  3. Step 3: Cross multiply
    520.02x = 778.14 × 314.73
  4. Step 4: Simplify right side
    520.02x = 244,904.00
  5. Step 5: Solve for x
    x = 244,904.00/520.02
  6. Step 6: Final answer
    x = 470.95

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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.