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Finding the Fourth Proportional to 523.16, 784.26 and 406.97

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Solution

The fourth proportional to 523.16, 784.26 and 406.97 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.16 : 784.26 = 406.97 : x
  2. Step 2: Convert to fraction form
    523.16/784.26 = 406.97/x
  3. Step 3: Cross multiply
    523.16x = 784.26 × 406.97
  4. Step 4: Simplify right side
    523.16x = 319,170.29
  5. Step 5: Solve for x
    x = 319,170.29/523.16
  6. Step 6: Final answer
    x = 610.08

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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.