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Finding the Fourth Proportional to 577.29, 865.73 and 187.28

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Solution

The fourth proportional to 577.29, 865.73 and 187.28 is: 280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.29 : 865.73 = 187.28 : x
  2. Step 2: Convert to fraction form
    577.29/865.73 = 187.28/x
  3. Step 3: Cross multiply
    577.29x = 865.73 × 187.28
  4. Step 4: Simplify right side
    577.29x = 162,133.91
  5. Step 5: Solve for x
    x = 162,133.91/577.29
  6. Step 6: Final answer
    x = 280.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.