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Finding the Fourth Proportional to 560.97, 774.17 and 374.32

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Solution

The fourth proportional to 560.97, 774.17 and 374.32 is: 516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.97 : 774.17 = 374.32 : x
  2. Step 2: Convert to fraction form
    560.97/774.17 = 374.32/x
  3. Step 3: Cross multiply
    560.97x = 774.17 × 374.32
  4. Step 4: Simplify right side
    560.97x = 289,787.31
  5. Step 5: Solve for x
    x = 289,787.31/560.97
  6. Step 6: Final answer
    x = 516.58

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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.