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Finding the Fourth Proportional to 289.31, 398.48 and 233.87

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Solution

The fourth proportional to 289.31, 398.48 and 233.87 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.31 : 398.48 = 233.87 : x
  2. Step 2: Convert to fraction form
    289.31/398.48 = 233.87/x
  3. Step 3: Cross multiply
    289.31x = 398.48 × 233.87
  4. Step 4: Simplify right side
    289.31x = 93,189.36
  5. Step 5: Solve for x
    x = 93,189.36/289.31
  6. Step 6: Final answer
    x = 322.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.