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Finding the Fourth Proportional to 386.15, 577.21 and 287.73

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Solution

The fourth proportional to 386.15, 577.21 and 287.73 is: 430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.15 : 577.21 = 287.73 : x
  2. Step 2: Convert to fraction form
    386.15/577.21 = 287.73/x
  3. Step 3: Cross multiply
    386.15x = 577.21 × 287.73
  4. Step 4: Simplify right side
    386.15x = 166,080.63
  5. Step 5: Solve for x
    x = 166,080.63/386.15
  6. Step 6: Final answer
    x = 430.09

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