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Finding the Fourth Proportional to 387.26, 534.89 and 289.45

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Solution

The fourth proportional to 387.26, 534.89 and 289.45 is: 399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.26 : 534.89 = 289.45 : x
  2. Step 2: Convert to fraction form
    387.26/534.89 = 289.45/x
  3. Step 3: Cross multiply
    387.26x = 534.89 × 289.45
  4. Step 4: Simplify right side
    387.26x = 154,819.79
  5. Step 5: Solve for x
    x = 154,819.79/387.26
  6. Step 6: Final answer
    x = 399.79

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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.