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Finding the Fourth Proportional to 523.68, 783.57 and 369.97

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Solution

The fourth proportional to 523.68, 783.57 and 369.97 is: 553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 783.57 = 369.97 : x
  2. Step 2: Convert to fraction form
    523.68/783.57 = 369.97/x
  3. Step 3: Cross multiply
    523.68x = 783.57 × 369.97
  4. Step 4: Simplify right side
    523.68x = 289,897.39
  5. Step 5: Solve for x
    x = 289,897.39/523.68
  6. Step 6: Final answer
    x = 553.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.