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Finding the Fourth Proportional to 649.43, 895.73 and 413.18

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Solution

The fourth proportional to 649.43, 895.73 and 413.18 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.43 : 895.73 = 413.18 : x
  2. Step 2: Convert to fraction form
    649.43/895.73 = 413.18/x
  3. Step 3: Cross multiply
    649.43x = 895.73 × 413.18
  4. Step 4: Simplify right side
    649.43x = 370,097.72
  5. Step 5: Solve for x
    x = 370,097.72/649.43
  6. Step 6: Final answer
    x = 569.88

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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.