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Finding the Fourth Proportional to 601.76, 836.19 and 599.33

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Solution

The fourth proportional to 601.76, 836.19 and 599.33 is: 832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.76 : 836.19 = 599.33 : x
  2. Step 2: Convert to fraction form
    601.76/836.19 = 599.33/x
  3. Step 3: Cross multiply
    601.76x = 836.19 × 599.33
  4. Step 4: Simplify right side
    601.76x = 501,155.84
  5. Step 5: Solve for x
    x = 501,155.84/601.76
  6. Step 6: Final answer
    x = 832.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.