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Finding the Fourth Proportional to 413.01, 569.92 and 247.20

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Solution

The fourth proportional to 413.01, 569.92 and 247.20 is: 341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.01 : 569.92 = 247.20 : x
  2. Step 2: Convert to fraction form
    413.01/569.92 = 247.20/x
  3. Step 3: Cross multiply
    413.01x = 569.92 × 247.20
  4. Step 4: Simplify right side
    413.01x = 140,880.14
  5. Step 5: Solve for x
    x = 140,880.14/413.01
  6. Step 6: Final answer
    x = 341.11

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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.