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Finding the Fourth Proportional to 389.76, 586.08 and 268.80

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Solution

The fourth proportional to 389.76, 586.08 and 268.80 is: 404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.76 : 586.08 = 268.80 : x
  2. Step 2: Convert to fraction form
    389.76/586.08 = 268.80/x
  3. Step 3: Cross multiply
    389.76x = 586.08 × 268.80
  4. Step 4: Simplify right side
    389.76x = 157,538.30
  5. Step 5: Solve for x
    x = 157,538.30/389.76
  6. Step 6: Final answer
    x = 404.19

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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.