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Finding the Fourth Proportional to 649.56, 896.14 and 413.45

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Solution

The fourth proportional to 649.56, 896.14 and 413.45 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 896.14 = 413.45 : x
  2. Step 2: Convert to fraction form
    649.56/896.14 = 413.45/x
  3. Step 3: Cross multiply
    649.56x = 896.14 × 413.45
  4. Step 4: Simplify right side
    649.56x = 370,502.54
  5. Step 5: Solve for x
    x = 370,502.54/649.56
  6. Step 6: Final answer
    x = 570.39

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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.