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Finding the Fourth Proportional to 649.44, 894.72 and 416.16

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Solution

The fourth proportional to 649.44, 894.72 and 416.16 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 894.72 = 416.16 : x
  2. Step 2: Convert to fraction form
    649.44/894.72 = 416.16/x
  3. Step 3: Cross multiply
    649.44x = 894.72 × 416.16
  4. Step 4: Simplify right side
    649.44x = 372,346.68
  5. Step 5: Solve for x
    x = 372,346.68/649.44
  6. Step 6: Final answer
    x = 573.33

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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.