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Finding the Fourth Proportional to 575.14, 793.71 and 342.25

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Solution

The fourth proportional to 575.14, 793.71 and 342.25 is: 472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.14 : 793.71 = 342.25 : x
  2. Step 2: Convert to fraction form
    575.14/793.71 = 342.25/x
  3. Step 3: Cross multiply
    575.14x = 793.71 × 342.25
  4. Step 4: Simplify right side
    575.14x = 271,647.25
  5. Step 5: Solve for x
    x = 271,647.25/575.14
  6. Step 6: Final answer
    x = 472.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.