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Finding the Fourth Proportional to 577.25, 865.88 and 235.25

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Solution

The fourth proportional to 577.25, 865.88 and 235.25 is: 352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.25 : 865.88 = 235.25 : x
  2. Step 2: Convert to fraction form
    577.25/865.88 = 235.25/x
  3. Step 3: Cross multiply
    577.25x = 865.88 × 235.25
  4. Step 4: Simplify right side
    577.25x = 203,698.27
  5. Step 5: Solve for x
    x = 203,698.27/577.25
  6. Step 6: Final answer
    x = 352.88

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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.