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Finding the Fourth Proportional to 289.83, 434.11 and 207.42

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Solution

The fourth proportional to 289.83, 434.11 and 207.42 is: 310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.83 : 434.11 = 207.42 : x
  2. Step 2: Convert to fraction form
    289.83/434.11 = 207.42/x
  3. Step 3: Cross multiply
    289.83x = 434.11 × 207.42
  4. Step 4: Simplify right side
    289.83x = 90,043.10
  5. Step 5: Solve for x
    x = 90,043.10/289.83
  6. Step 6: Final answer
    x = 310.68

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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.