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Finding the Fourth Proportional to 387.91, 534.97 and 261.65

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Solution

The fourth proportional to 387.91, 534.97 and 261.65 is: 360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.91 : 534.97 = 261.65 : x
  2. Step 2: Convert to fraction form
    387.91/534.97 = 261.65/x
  3. Step 3: Cross multiply
    387.91x = 534.97 × 261.65
  4. Step 4: Simplify right side
    387.91x = 139,974.90
  5. Step 5: Solve for x
    x = 139,974.90/387.91
  6. Step 6: Final answer
    x = 360.84

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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.