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Finding the Fourth Proportional to 523.77, 722.62 and 406.22

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Solution

The fourth proportional to 523.77, 722.62 and 406.22 is: 560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.77 : 722.62 = 406.22 : x
  2. Step 2: Convert to fraction form
    523.77/722.62 = 406.22/x
  3. Step 3: Cross multiply
    523.77x = 722.62 × 406.22
  4. Step 4: Simplify right side
    523.77x = 293,539.59
  5. Step 5: Solve for x
    x = 293,539.59/523.77
  6. Step 6: Final answer
    x = 560.44

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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.