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Finding the Fourth Proportional to 577.28, 865.78 and 230.69

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Solution

The fourth proportional to 577.28, 865.78 and 230.69 is: 345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.28 : 865.78 = 230.69 : x
  2. Step 2: Convert to fraction form
    577.28/865.78 = 230.69/x
  3. Step 3: Cross multiply
    577.28x = 865.78 × 230.69
  4. Step 4: Simplify right side
    577.28x = 199,728.38
  5. Step 5: Solve for x
    x = 199,728.38/577.28
  6. Step 6: Final answer
    x = 345.98

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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.