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Finding the Fourth Proportional to 413.78, 570.84 and 282.74

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Solution

The fourth proportional to 413.78, 570.84 and 282.74 is: 390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 570.84 = 282.74 : x
  2. Step 2: Convert to fraction form
    413.78/570.84 = 282.74/x
  3. Step 3: Cross multiply
    413.78x = 570.84 × 282.74
  4. Step 4: Simplify right side
    413.78x = 161,399.30
  5. Step 5: Solve for x
    x = 161,399.30/413.78
  6. Step 6: Final answer
    x = 390.06

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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.