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Finding the Fourth Proportional to 523.75, 785.78 and 427.17

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Solution

The fourth proportional to 523.75, 785.78 and 427.17 is: 640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.75 : 785.78 = 427.17 : x
  2. Step 2: Convert to fraction form
    523.75/785.78 = 427.17/x
  3. Step 3: Cross multiply
    523.75x = 785.78 × 427.17
  4. Step 4: Simplify right side
    523.75x = 335,655.58
  5. Step 5: Solve for x
    x = 335,655.58/523.75
  6. Step 6: Final answer
    x = 640.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.