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Finding the Fourth Proportional to 523.52, 784.93 and 263.13

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Solution

The fourth proportional to 523.52, 784.93 and 263.13 is: 394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.52 : 784.93 = 263.13 : x
  2. Step 2: Convert to fraction form
    523.52/784.93 = 263.13/x
  3. Step 3: Cross multiply
    523.52x = 784.93 × 263.13
  4. Step 4: Simplify right side
    523.52x = 206,537.66
  5. Step 5: Solve for x
    x = 206,537.66/523.52
  6. Step 6: Final answer
    x = 394.52

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Why These Related Problems?

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