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Finding the Fourth Proportional to 523.73, 722.07 and 405.88

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Solution

The fourth proportional to 523.73, 722.07 and 405.88 is: 559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.73 : 722.07 = 405.88 : x
  2. Step 2: Convert to fraction form
    523.73/722.07 = 405.88/x
  3. Step 3: Cross multiply
    523.73x = 722.07 × 405.88
  4. Step 4: Simplify right side
    523.73x = 293,071.97
  5. Step 5: Solve for x
    x = 293,071.97/523.73
  6. Step 6: Final answer
    x = 559.58

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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.