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Finding the Fourth Proportional to 413.82, 571.14 and 282.72

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Solution

The fourth proportional to 413.82, 571.14 and 282.72 is: 390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 571.14 = 282.72 : x
  2. Step 2: Convert to fraction form
    413.82/571.14 = 282.72/x
  3. Step 3: Cross multiply
    413.82x = 571.14 × 282.72
  4. Step 4: Simplify right side
    413.82x = 161,472.70
  5. Step 5: Solve for x
    x = 161,472.70/413.82
  6. Step 6: Final answer
    x = 390.20

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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.