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Finding the Fourth Proportional to 601.42, 902.04 and 231.16

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Solution

The fourth proportional to 601.42, 902.04 and 231.16 is: 346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.42 : 902.04 = 231.16 : x
  2. Step 2: Convert to fraction form
    601.42/902.04 = 231.16/x
  3. Step 3: Cross multiply
    601.42x = 902.04 × 231.16
  4. Step 4: Simplify right side
    601.42x = 208,515.57
  5. Step 5: Solve for x
    x = 208,515.57/601.42
  6. Step 6: Final answer
    x = 346.71

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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.