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Finding the Fourth Proportional to 649.50, 896.07 and 400.56

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Solution

The fourth proportional to 649.50, 896.07 and 400.56 is: 552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.50 : 896.07 = 400.56 : x
  2. Step 2: Convert to fraction form
    649.50/896.07 = 400.56/x
  3. Step 3: Cross multiply
    649.50x = 896.07 × 400.56
  4. Step 4: Simplify right side
    649.50x = 358,929.80
  5. Step 5: Solve for x
    x = 358,929.80/649.50
  6. Step 6: Final answer
    x = 552.62

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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.