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Finding the Fourth Proportional to 387.55, 534.62 and 263.21

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Solution

The fourth proportional to 387.55, 534.62 and 263.21 is: 363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.55 : 534.62 = 263.21 : x
  2. Step 2: Convert to fraction form
    387.55/534.62 = 263.21/x
  3. Step 3: Cross multiply
    387.55x = 534.62 × 263.21
  4. Step 4: Simplify right side
    387.55x = 140,716.01
  5. Step 5: Solve for x
    x = 140,716.01/387.55
  6. Step 6: Final answer
    x = 363.10

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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.