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Finding the Fourth Proportional to 606.24, 836.52 and 585.48

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Solution

The fourth proportional to 606.24, 836.52 and 585.48 is: 807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.24 : 836.52 = 585.48 : x
  2. Step 2: Convert to fraction form
    606.24/836.52 = 585.48/x
  3. Step 3: Cross multiply
    606.24x = 836.52 × 585.48
  4. Step 4: Simplify right side
    606.24x = 489,765.73
  5. Step 5: Solve for x
    x = 489,765.73/606.24
  6. Step 6: Final answer
    x = 807.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.