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Finding the Fourth Proportional to 413.22, 569.52 and 364.02

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Solution

The fourth proportional to 413.22, 569.52 and 364.02 is: 501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.22 : 569.52 = 364.02 : x
  2. Step 2: Convert to fraction form
    413.22/569.52 = 364.02/x
  3. Step 3: Cross multiply
    413.22x = 569.52 × 364.02
  4. Step 4: Simplify right side
    413.22x = 207,316.67
  5. Step 5: Solve for x
    x = 207,316.67/413.22
  6. Step 6: Final answer
    x = 501.71

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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.