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Finding the Fourth Proportional to 289.62, 434.08 and 266.54

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Solution

The fourth proportional to 289.62, 434.08 and 266.54 is: 399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.62 : 434.08 = 266.54 : x
  2. Step 2: Convert to fraction form
    289.62/434.08 = 266.54/x
  3. Step 3: Cross multiply
    289.62x = 434.08 × 266.54
  4. Step 4: Simplify right side
    289.62x = 115,699.68
  5. Step 5: Solve for x
    x = 115,699.68/289.62
  6. Step 6: Final answer
    x = 399.49

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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.