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Finding the Fourth Proportional to 413.02, 569.77 and 247.22

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Solution

The fourth proportional to 413.02, 569.77 and 247.22 is: 341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.02 : 569.77 = 247.22 : x
  2. Step 2: Convert to fraction form
    413.02/569.77 = 247.22/x
  3. Step 3: Cross multiply
    413.02x = 569.77 × 247.22
  4. Step 4: Simplify right side
    413.02x = 140,858.54
  5. Step 5: Solve for x
    x = 140,858.54/413.02
  6. Step 6: Final answer
    x = 341.05

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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.