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Finding the Fourth Proportional to 401.23, 600.63 and 239.23

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Solution

The fourth proportional to 401.23, 600.63 and 239.23 is: 358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.23 : 600.63 = 239.23 : x
  2. Step 2: Convert to fraction form
    401.23/600.63 = 239.23/x
  3. Step 3: Cross multiply
    401.23x = 600.63 × 239.23
  4. Step 4: Simplify right side
    401.23x = 143,688.71
  5. Step 5: Solve for x
    x = 143,688.71/401.23
  6. Step 6: Final answer
    x = 358.12

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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.