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Finding the Fourth Proportional to 523.68, 722.16 and 413.28

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Solution

The fourth proportional to 523.68, 722.16 and 413.28 is: 569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 722.16 = 413.28 : x
  2. Step 2: Convert to fraction form
    523.68/722.16 = 413.28/x
  3. Step 3: Cross multiply
    523.68x = 722.16 × 413.28
  4. Step 4: Simplify right side
    523.68x = 298,454.28
  5. Step 5: Solve for x
    x = 298,454.28/523.68
  6. Step 6: Final answer
    x = 569.92

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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.