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Finding the Fourth Proportional to 401.36, 601.08 and 328.40

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Solution

The fourth proportional to 401.36, 601.08 and 328.40 is: 491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.36 : 601.08 = 328.40 : x
  2. Step 2: Convert to fraction form
    401.36/601.08 = 328.40/x
  3. Step 3: Cross multiply
    401.36x = 601.08 × 328.40
  4. Step 4: Simplify right side
    401.36x = 197,394.67
  5. Step 5: Solve for x
    x = 197,394.67/401.36
  6. Step 6: Final answer
    x = 491.81

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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.