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Finding the Fourth Proportional to 601.39, 902.75 and 466.06

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Solution

The fourth proportional to 601.39, 902.75 and 466.06 is: 699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.39 : 902.75 = 466.06 : x
  2. Step 2: Convert to fraction form
    601.39/902.75 = 466.06/x
  3. Step 3: Cross multiply
    601.39x = 902.75 × 466.06
  4. Step 4: Simplify right side
    601.39x = 420,735.67
  5. Step 5: Solve for x
    x = 420,735.67/601.39
  6. Step 6: Final answer
    x = 699.61

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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.