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Finding the Fourth Proportional to 649.49, 896.45 and 400.70

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Solution

The fourth proportional to 649.49, 896.45 and 400.70 is: 553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.49 : 896.45 = 400.70 : x
  2. Step 2: Convert to fraction form
    649.49/896.45 = 400.70/x
  3. Step 3: Cross multiply
    649.49x = 896.45 × 400.70
  4. Step 4: Simplify right side
    649.49x = 359,201.03
  5. Step 5: Solve for x
    x = 359,201.03/649.49
  6. Step 6: Final answer
    x = 553.06

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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.