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Finding the Fourth Proportional to 518.94, 774.27 and 470.34

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Solution

The fourth proportional to 518.94, 774.27 and 470.34 is: 701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.94 : 774.27 = 470.34 : x
  2. Step 2: Convert to fraction form
    518.94/774.27 = 470.34/x
  3. Step 3: Cross multiply
    518.94x = 774.27 × 470.34
  4. Step 4: Simplify right side
    518.94x = 364,170.15
  5. Step 5: Solve for x
    x = 364,170.15/518.94
  6. Step 6: Final answer
    x = 701.76

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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.