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Finding the Fourth Proportional to 601.12, 900.87 and 326.80

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Solution

The fourth proportional to 601.12, 900.87 and 326.80 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.12 : 900.87 = 326.80 : x
  2. Step 2: Convert to fraction form
    601.12/900.87 = 326.80/x
  3. Step 3: Cross multiply
    601.12x = 900.87 × 326.80
  4. Step 4: Simplify right side
    601.12x = 294,404.32
  5. Step 5: Solve for x
    x = 294,404.32/601.12
  6. Step 6: Final answer
    x = 489.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.