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Finding the Fourth Proportional to 389.65, 537.84 and 232.40

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Solution

The fourth proportional to 389.65, 537.84 and 232.40 is: 320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.65 : 537.84 = 232.40 : x
  2. Step 2: Convert to fraction form
    389.65/537.84 = 232.40/x
  3. Step 3: Cross multiply
    389.65x = 537.84 × 232.40
  4. Step 4: Simplify right side
    389.65x = 124,994.02
  5. Step 5: Solve for x
    x = 124,994.02/389.65
  6. Step 6: Final answer
    x = 320.79

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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.