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Finding the Fourth Proportional to 560.42, 772.94 and 361.27

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Solution

The fourth proportional to 560.42, 772.94 and 361.27 is: 498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.42 : 772.94 = 361.27 : x
  2. Step 2: Convert to fraction form
    560.42/772.94 = 361.27/x
  3. Step 3: Cross multiply
    560.42x = 772.94 × 361.27
  4. Step 4: Simplify right side
    560.42x = 279,240.03
  5. Step 5: Solve for x
    x = 279,240.03/560.42
  6. Step 6: Final answer
    x = 498.27

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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.