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Finding the Fourth Proportional to 389.64, 537.33 and 296.39

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Solution

The fourth proportional to 389.64, 537.33 and 296.39 is: 408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.64 : 537.33 = 296.39 : x
  2. Step 2: Convert to fraction form
    389.64/537.33 = 296.39/x
  3. Step 3: Cross multiply
    389.64x = 537.33 × 296.39
  4. Step 4: Simplify right side
    389.64x = 159,259.24
  5. Step 5: Solve for x
    x = 159,259.24/389.64
  6. Step 6: Final answer
    x = 408.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.