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Finding the Fourth Proportional to 386.76, 577.41 and 363.56

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Solution

The fourth proportional to 386.76, 577.41 and 363.56 is: 542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.76 : 577.41 = 363.56 : x
  2. Step 2: Convert to fraction form
    386.76/577.41 = 363.56/x
  3. Step 3: Cross multiply
    386.76x = 577.41 × 363.56
  4. Step 4: Simplify right side
    386.76x = 209,923.18
  5. Step 5: Solve for x
    x = 209,923.18/386.76
  6. Step 6: Final answer
    x = 542.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.