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Finding the Fourth Proportional to 401.94, 601.74 and 330.12

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Solution

The fourth proportional to 401.94, 601.74 and 330.12 is: 494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.94 : 601.74 = 330.12 : x
  2. Step 2: Convert to fraction form
    401.94/601.74 = 330.12/x
  3. Step 3: Cross multiply
    401.94x = 601.74 × 330.12
  4. Step 4: Simplify right side
    401.94x = 198,646.41
  5. Step 5: Solve for x
    x = 198,646.41/401.94
  6. Step 6: Final answer
    x = 494.22

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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.