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Finding the Fourth Proportional to 289.96, 433.86 and 174.52

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Solution

The fourth proportional to 289.96, 433.86 and 174.52 is: 261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.96 : 433.86 = 174.52 : x
  2. Step 2: Convert to fraction form
    289.96/433.86 = 174.52/x
  3. Step 3: Cross multiply
    289.96x = 433.86 × 174.52
  4. Step 4: Simplify right side
    289.96x = 75,717.25
  5. Step 5: Solve for x
    x = 75,717.25/289.96
  6. Step 6: Final answer
    x = 261.13

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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.