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Finding the Fourth Proportional to 387.40, 534.24 and 261.65

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Solution

The fourth proportional to 387.40, 534.24 and 261.65 is: 360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.40 : 534.24 = 261.65 : x
  2. Step 2: Convert to fraction form
    387.40/534.24 = 261.65/x
  3. Step 3: Cross multiply
    387.40x = 534.24 × 261.65
  4. Step 4: Simplify right side
    387.40x = 139,781.22
  5. Step 5: Solve for x
    x = 139,781.22/387.40
  6. Step 6: Final answer
    x = 360.82

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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.