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Finding the Fourth Proportional to 401.16, 600.09 and 320.16

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Solution

The fourth proportional to 401.16, 600.09 and 320.16 is: 478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.16 : 600.09 = 320.16 : x
  2. Step 2: Convert to fraction form
    401.16/600.09 = 320.16/x
  3. Step 3: Cross multiply
    401.16x = 600.09 × 320.16
  4. Step 4: Simplify right side
    401.16x = 192,124.81
  5. Step 5: Solve for x
    x = 192,124.81/401.16
  6. Step 6: Final answer
    x = 478.92

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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.