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Finding the Fourth Proportional to 561.07, 774.92 and 374.25

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Solution

The fourth proportional to 561.07, 774.92 and 374.25 is: 516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.07 : 774.92 = 374.25 : x
  2. Step 2: Convert to fraction form
    561.07/774.92 = 374.25/x
  3. Step 3: Cross multiply
    561.07x = 774.92 × 374.25
  4. Step 4: Simplify right side
    561.07x = 290,013.81
  5. Step 5: Solve for x
    x = 290,013.81/561.07
  6. Step 6: Final answer
    x = 516.90

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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.