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Finding the Fourth Proportional to 389.96, 537.76 and 296.71

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Solution

The fourth proportional to 389.96, 537.76 and 296.71 is: 409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.96 : 537.76 = 296.71 : x
  2. Step 2: Convert to fraction form
    389.96/537.76 = 296.71/x
  3. Step 3: Cross multiply
    389.96x = 537.76 × 296.71
  4. Step 4: Simplify right side
    389.96x = 159,556.68
  5. Step 5: Solve for x
    x = 159,556.68/389.96
  6. Step 6: Final answer
    x = 409.17

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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.