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Finding the Fourth Proportional to 649.64, 896.97 and 417.14

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Solution

The fourth proportional to 649.64, 896.97 and 417.14 is: 575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 896.97 = 417.14 : x
  2. Step 2: Convert to fraction form
    649.64/896.97 = 417.14/x
  3. Step 3: Cross multiply
    649.64x = 896.97 × 417.14
  4. Step 4: Simplify right side
    649.64x = 374,162.07
  5. Step 5: Solve for x
    x = 374,162.07/649.64
  6. Step 6: Final answer
    x = 575.95

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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.