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Finding the Fourth Proportional to 523.08, 783.96 and 413.76

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Solution

The fourth proportional to 523.08, 783.96 and 413.76 is: 620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 783.96 = 413.76 : x
  2. Step 2: Convert to fraction form
    523.08/783.96 = 413.76/x
  3. Step 3: Cross multiply
    523.08x = 783.96 × 413.76
  4. Step 4: Simplify right side
    523.08x = 324,371.29
  5. Step 5: Solve for x
    x = 324,371.29/523.08
  6. Step 6: Final answer
    x = 620.12

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Why These Related Problems?

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