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Finding the Fourth Proportional to 601.03, 901.41 and 326.98

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Solution

The fourth proportional to 601.03, 901.41 and 326.98 is: 490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.03 : 901.41 = 326.98 : x
  2. Step 2: Convert to fraction form
    601.03/901.41 = 326.98/x
  3. Step 3: Cross multiply
    601.03x = 901.41 × 326.98
  4. Step 4: Simplify right side
    601.03x = 294,743.04
  5. Step 5: Solve for x
    x = 294,743.04/601.03
  6. Step 6: Final answer
    x = 490.40

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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.