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Finding the Fourth Proportional to 413.05, 569.04 and 288.48

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Solution

The fourth proportional to 413.05, 569.04 and 288.48 is: 397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.05 : 569.04 = 288.48 : x
  2. Step 2: Convert to fraction form
    413.05/569.04 = 288.48/x
  3. Step 3: Cross multiply
    413.05x = 569.04 × 288.48
  4. Step 4: Simplify right side
    413.05x = 164,156.66
  5. Step 5: Solve for x
    x = 164,156.66/413.05
  6. Step 6: Final answer
    x = 397.43

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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.