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Finding the Fourth Proportional to 523.20, 722.59 and 406.58

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Solution

The fourth proportional to 523.20, 722.59 and 406.58 is: 561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.20 : 722.59 = 406.58 : x
  2. Step 2: Convert to fraction form
    523.20/722.59 = 406.58/x
  3. Step 3: Cross multiply
    523.20x = 722.59 × 406.58
  4. Step 4: Simplify right side
    523.20x = 293,791.43
  5. Step 5: Solve for x
    x = 293,791.43/523.20
  6. Step 6: Final answer
    x = 561.53

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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.