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Finding the Fourth Proportional to 601.46, 902.02 and 231.18

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Solution

The fourth proportional to 601.46, 902.02 and 231.18 is: 346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.46 : 902.02 = 231.18 : x
  2. Step 2: Convert to fraction form
    601.46/902.02 = 231.18/x
  3. Step 3: Cross multiply
    601.46x = 902.02 × 231.18
  4. Step 4: Simplify right side
    601.46x = 208,528.98
  5. Step 5: Solve for x
    x = 208,528.98/601.46
  6. Step 6: Final answer
    x = 346.70

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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.