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Finding the Fourth Proportional to 601.42, 901.44 and 327.75

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Solution

The fourth proportional to 601.42, 901.44 and 327.75 is: 491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.42 : 901.44 = 327.75 : x
  2. Step 2: Convert to fraction form
    601.42/901.44 = 327.75/x
  3. Step 3: Cross multiply
    601.42x = 901.44 × 327.75
  4. Step 4: Simplify right side
    601.42x = 295,446.96
  5. Step 5: Solve for x
    x = 295,446.96/601.42
  6. Step 6: Final answer
    x = 491.25

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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.