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Finding the Fourth Proportional to 523.69, 722.17 and 444.92

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Solution

The fourth proportional to 523.69, 722.17 and 444.92 is: 613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 722.17 = 444.92 : x
  2. Step 2: Convert to fraction form
    523.69/722.17 = 444.92/x
  3. Step 3: Cross multiply
    523.69x = 722.17 × 444.92
  4. Step 4: Simplify right side
    523.69x = 321,307.88
  5. Step 5: Solve for x
    x = 321,307.88/523.69
  6. Step 6: Final answer
    x = 613.55

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