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Finding the Fourth Proportional to 413.54, 570.84 and 282.62

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Solution

The fourth proportional to 413.54, 570.84 and 282.62 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.54 : 570.84 = 282.62 : x
  2. Step 2: Convert to fraction form
    413.54/570.84 = 282.62/x
  3. Step 3: Cross multiply
    413.54x = 570.84 × 282.62
  4. Step 4: Simplify right side
    413.54x = 161,327.95
  5. Step 5: Solve for x
    x = 161,327.95/413.54
  6. Step 6: Final answer
    x = 390.12

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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.