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Finding the Fourth Proportional to 577.01, 865.46 and 186.99

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Solution

The fourth proportional to 577.01, 865.46 and 186.99 is: 280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.01 : 865.46 = 186.99 : x
  2. Step 2: Convert to fraction form
    577.01/865.46 = 186.99/x
  3. Step 3: Cross multiply
    577.01x = 865.46 × 186.99
  4. Step 4: Simplify right side
    577.01x = 161,832.83
  5. Step 5: Solve for x
    x = 161,832.83/577.01
  6. Step 6: Final answer
    x = 280.47

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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.