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Finding the Fourth Proportional to 387.90, 584.87 and 363.90

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Solution

The fourth proportional to 387.90, 584.87 and 363.90 is: 548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.90 : 584.87 = 363.90 : x
  2. Step 2: Convert to fraction form
    387.90/584.87 = 363.90/x
  3. Step 3: Cross multiply
    387.90x = 584.87 × 363.90
  4. Step 4: Simplify right side
    387.90x = 212,832.37
  5. Step 5: Solve for x
    x = 212,832.37/387.90
  6. Step 6: Final answer
    x = 548.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.