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Finding the Fourth Proportional to 387.76, 534.66 and 263.50

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Solution

The fourth proportional to 387.76, 534.66 and 263.50 is: 363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.76 : 534.66 = 263.50 : x
  2. Step 2: Convert to fraction form
    387.76/534.66 = 263.50/x
  3. Step 3: Cross multiply
    387.76x = 534.66 × 263.50
  4. Step 4: Simplify right side
    387.76x = 140,882.91
  5. Step 5: Solve for x
    x = 140,882.91/387.76
  6. Step 6: Final answer
    x = 363.33

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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.