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Finding the Fourth Proportional to 289.08, 433.65 and 83.64

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Solution

The fourth proportional to 289.08, 433.65 and 83.64 is: 125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.08 : 433.65 = 83.64 : x
  2. Step 2: Convert to fraction form
    289.08/433.65 = 83.64/x
  3. Step 3: Cross multiply
    289.08x = 433.65 × 83.64
  4. Step 4: Simplify right side
    289.08x = 36,270.49
  5. Step 5: Solve for x
    x = 36,270.49/289.08
  6. Step 6: Final answer
    x = 125.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.