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Finding the Fourth Proportional to 523.35, 784.56 and 263.01

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Solution

The fourth proportional to 523.35, 784.56 and 263.01 is: 394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.35 : 784.56 = 263.01 : x
  2. Step 2: Convert to fraction form
    523.35/784.56 = 263.01/x
  3. Step 3: Cross multiply
    523.35x = 784.56 × 263.01
  4. Step 4: Simplify right side
    523.35x = 206,347.13
  5. Step 5: Solve for x
    x = 206,347.13/523.35
  6. Step 6: Final answer
    x = 394.28

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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.