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Finding the Fourth Proportional to 523.80, 723.09 and 405.51

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Solution

The fourth proportional to 523.80, 723.09 and 405.51 is: 559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 723.09 = 405.51 : x
  2. Step 2: Convert to fraction form
    523.80/723.09 = 405.51/x
  3. Step 3: Cross multiply
    523.80x = 723.09 × 405.51
  4. Step 4: Simplify right side
    523.80x = 293,220.23
  5. Step 5: Solve for x
    x = 293,220.23/523.80
  6. Step 6: Final answer
    x = 559.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.