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Finding the Fourth Proportional to 560.76, 773.60 and 364.20

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Solution

The fourth proportional to 560.76, 773.60 and 364.20 is: 502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 773.60 = 364.20 : x
  2. Step 2: Convert to fraction form
    560.76/773.60 = 364.20/x
  3. Step 3: Cross multiply
    560.76x = 773.60 × 364.20
  4. Step 4: Simplify right side
    560.76x = 281,745.12
  5. Step 5: Solve for x
    x = 281,745.12/560.76
  6. Step 6: Final answer
    x = 502.43

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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.