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Finding the Fourth Proportional to 389.22, 537 and 231.84

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Solution

The fourth proportional to 389.22, 537 and 231.84 is: 319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.22 : 537 = 231.84 : x
  2. Step 2: Convert to fraction form
    389.22/537 = 231.84/x
  3. Step 3: Cross multiply
    389.22x = 537 × 231.84
  4. Step 4: Simplify right side
    389.22x = 124,498.08
  5. Step 5: Solve for x
    x = 124,498.08/389.22
  6. Step 6: Final answer
    x = 319.87

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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.