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Finding the Fourth Proportional to 601.81, 902.75 and 217.06

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Solution

The fourth proportional to 601.81, 902.75 and 217.06 is: 325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.81 : 902.75 = 217.06 : x
  2. Step 2: Convert to fraction form
    601.81/902.75 = 217.06/x
  3. Step 3: Cross multiply
    601.81x = 902.75 × 217.06
  4. Step 4: Simplify right side
    601.81x = 195,950.92
  5. Step 5: Solve for x
    x = 195,950.92/601.81
  6. Step 6: Final answer
    x = 325.60

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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.