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Finding the Fourth Proportional to 574.94, 861.60 and 464.78

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Solution

The fourth proportional to 574.94, 861.60 and 464.78 is: 696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.94 : 861.60 = 464.78 : x
  2. Step 2: Convert to fraction form
    574.94/861.60 = 464.78/x
  3. Step 3: Cross multiply
    574.94x = 861.60 × 464.78
  4. Step 4: Simplify right side
    574.94x = 400,454.45
  5. Step 5: Solve for x
    x = 400,454.45/574.94
  6. Step 6: Final answer
    x = 696.52

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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.