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Finding the Fourth Proportional to 577.17, 865.98 and 252.59

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Solution

The fourth proportional to 577.17, 865.98 and 252.59 is: 378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.17 : 865.98 = 252.59 : x
  2. Step 2: Convert to fraction form
    577.17/865.98 = 252.59/x
  3. Step 3: Cross multiply
    577.17x = 865.98 × 252.59
  4. Step 4: Simplify right side
    577.17x = 218,733.56
  5. Step 5: Solve for x
    x = 218,733.56/577.17
  6. Step 6: Final answer
    x = 378.98

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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.