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Finding the Fourth Proportional to 574.80, 865.30 and 523.77

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Solution

The fourth proportional to 574.80, 865.30 and 523.77 is: 788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 865.30 = 523.77 : x
  2. Step 2: Convert to fraction form
    574.80/865.30 = 523.77/x
  3. Step 3: Cross multiply
    574.80x = 865.30 × 523.77
  4. Step 4: Simplify right side
    574.80x = 453,218.18
  5. Step 5: Solve for x
    x = 453,218.18/574.80
  6. Step 6: Final answer
    x = 788.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.