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Finding the Fourth Proportional to 413.29, 570.41 and 280.78

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Solution

The fourth proportional to 413.29, 570.41 and 280.78 is: 387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.29 : 570.41 = 280.78 : x
  2. Step 2: Convert to fraction form
    413.29/570.41 = 280.78/x
  3. Step 3: Cross multiply
    413.29x = 570.41 × 280.78
  4. Step 4: Simplify right side
    413.29x = 160,159.72
  5. Step 5: Solve for x
    x = 160,159.72/413.29
  6. Step 6: Final answer
    x = 387.52

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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.