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Finding the Fourth Proportional to 386.74, 577.37 and 363.56

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Solution

The fourth proportional to 386.74, 577.37 and 363.56 is: 542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.74 : 577.37 = 363.56 : x
  2. Step 2: Convert to fraction form
    386.74/577.37 = 363.56/x
  3. Step 3: Cross multiply
    386.74x = 577.37 × 363.56
  4. Step 4: Simplify right side
    386.74x = 209,908.64
  5. Step 5: Solve for x
    x = 209,908.64/386.74
  6. Step 6: Final answer
    x = 542.76

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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.