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Finding the Fourth Proportional to 413.30, 569.39 and 288.77

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Solution

The fourth proportional to 413.30, 569.39 and 288.77 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.30 : 569.39 = 288.77 : x
  2. Step 2: Convert to fraction form
    413.30/569.39 = 288.77/x
  3. Step 3: Cross multiply
    413.30x = 569.39 × 288.77
  4. Step 4: Simplify right side
    413.30x = 164,418.46
  5. Step 5: Solve for x
    x = 164,418.46/413.30
  6. Step 6: Final answer
    x = 397.82

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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.