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Finding the Fourth Proportional to 649.35, 895.77 and 413.57

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Solution

The fourth proportional to 649.35, 895.77 and 413.57 is: 570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 895.77 = 413.57 : x
  2. Step 2: Convert to fraction form
    649.35/895.77 = 413.57/x
  3. Step 3: Cross multiply
    649.35x = 895.77 × 413.57
  4. Step 4: Simplify right side
    649.35x = 370,463.60
  5. Step 5: Solve for x
    x = 370,463.60/649.35
  6. Step 6: Final answer
    x = 570.51

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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.