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Finding the Fourth Proportional to 649.19, 895.38 and 413.17

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Solution

The fourth proportional to 649.19, 895.38 and 413.17 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.19 : 895.38 = 413.17 : x
  2. Step 2: Convert to fraction form
    649.19/895.38 = 413.17/x
  3. Step 3: Cross multiply
    649.19x = 895.38 × 413.17
  4. Step 4: Simplify right side
    649.19x = 369,942.09
  5. Step 5: Solve for x
    x = 369,942.09/649.19
  6. Step 6: Final answer
    x = 569.86

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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.