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Finding the Fourth Proportional to 413.49, 569.46 and 382.71

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Solution

The fourth proportional to 413.49, 569.46 and 382.71 is: 527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.49 : 569.46 = 382.71 : x
  2. Step 2: Convert to fraction form
    413.49/569.46 = 382.71/x
  3. Step 3: Cross multiply
    413.49x = 569.46 × 382.71
  4. Step 4: Simplify right side
    413.49x = 217,938.04
  5. Step 5: Solve for x
    x = 217,938.04/413.49
  6. Step 6: Final answer
    x = 527.07

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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.