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Finding the Fourth Proportional to 574.06, 856.15 and 518.70

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Solution

The fourth proportional to 574.06, 856.15 and 518.70 is: 773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.06 : 856.15 = 518.70 : x
  2. Step 2: Convert to fraction form
    574.06/856.15 = 518.70/x
  3. Step 3: Cross multiply
    574.06x = 856.15 × 518.70
  4. Step 4: Simplify right side
    574.06x = 444,085.01
  5. Step 5: Solve for x
    x = 444,085.01/574.06
  6. Step 6: Final answer
    x = 773.59

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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.