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Finding the Fourth Proportional to 649.70, 896.28 and 472.39

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Solution

The fourth proportional to 649.70, 896.28 and 472.39 is: 651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.70 : 896.28 = 472.39 : x
  2. Step 2: Convert to fraction form
    649.70/896.28 = 472.39/x
  3. Step 3: Cross multiply
    649.70x = 896.28 × 472.39
  4. Step 4: Simplify right side
    649.70x = 423,393.71
  5. Step 5: Solve for x
    x = 423,393.71/649.70
  6. Step 6: Final answer
    x = 651.68

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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.