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Finding the Fourth Proportional to 523.34, 784.58 and 263.03

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Solution

The fourth proportional to 523.34, 784.58 and 263.03 is: 394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.34 : 784.58 = 263.03 : x
  2. Step 2: Convert to fraction form
    523.34/784.58 = 263.03/x
  3. Step 3: Cross multiply
    523.34x = 784.58 × 263.03
  4. Step 4: Simplify right side
    523.34x = 206,362.84
  5. Step 5: Solve for x
    x = 206,362.84/523.34
  6. Step 6: Final answer
    x = 394.32

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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.