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Finding the Fourth Proportional to 601.95, 900.96 and 327.36

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Solution

The fourth proportional to 601.95, 900.96 and 327.36 is: 489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.95 : 900.96 = 327.36 : x
  2. Step 2: Convert to fraction form
    601.95/900.96 = 327.36/x
  3. Step 3: Cross multiply
    601.95x = 900.96 × 327.36
  4. Step 4: Simplify right side
    601.95x = 294,938.27
  5. Step 5: Solve for x
    x = 294,938.27/601.95
  6. Step 6: Final answer
    x = 489.97

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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.