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Finding the Fourth Proportional to 575.24, 793.56 and 354.20

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Solution

The fourth proportional to 575.24, 793.56 and 354.20 is: 488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.24 : 793.56 = 354.20 : x
  2. Step 2: Convert to fraction form
    575.24/793.56 = 354.20/x
  3. Step 3: Cross multiply
    575.24x = 793.56 × 354.20
  4. Step 4: Simplify right side
    575.24x = 281,078.95
  5. Step 5: Solve for x
    x = 281,078.95/575.24
  6. Step 6: Final answer
    x = 488.63

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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.