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Finding the Fourth Proportional to 389.85, 537.85 and 296.50

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Solution

The fourth proportional to 389.85, 537.85 and 296.50 is: 409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.85 : 537.85 = 296.50 : x
  2. Step 2: Convert to fraction form
    389.85/537.85 = 296.50/x
  3. Step 3: Cross multiply
    389.85x = 537.85 × 296.50
  4. Step 4: Simplify right side
    389.85x = 159,470.44
  5. Step 5: Solve for x
    x = 159,470.44/389.85
  6. Step 6: Final answer
    x = 409.06

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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.