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Finding the Fourth Proportional to 523.42, 783.93 and 376.27

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Solution

The fourth proportional to 523.42, 783.93 and 376.27 is: 563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.42 : 783.93 = 376.27 : x
  2. Step 2: Convert to fraction form
    523.42/783.93 = 376.27/x
  3. Step 3: Cross multiply
    523.42x = 783.93 × 376.27
  4. Step 4: Simplify right side
    523.42x = 294,969.34
  5. Step 5: Solve for x
    x = 294,969.34/523.42
  6. Step 6: Final answer
    x = 563.54

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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.