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Finding the Fourth Proportional to 560.53, 773.92 and 374.23

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Solution

The fourth proportional to 560.53, 773.92 and 374.23 is: 516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.53 : 773.92 = 374.23 : x
  2. Step 2: Convert to fraction form
    560.53/773.92 = 374.23/x
  3. Step 3: Cross multiply
    560.53x = 773.92 × 374.23
  4. Step 4: Simplify right side
    560.53x = 289,625.52
  5. Step 5: Solve for x
    x = 289,625.52/560.53
  6. Step 6: Final answer
    x = 516.70

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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.