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Finding the Fourth Proportional to 650.03, 897.28 and 470.81

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Solution

The fourth proportional to 650.03, 897.28 and 470.81 is: 649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.03 : 897.28 = 470.81 : x
  2. Step 2: Convert to fraction form
    650.03/897.28 = 470.81/x
  3. Step 3: Cross multiply
    650.03x = 897.28 × 470.81
  4. Step 4: Simplify right side
    650.03x = 422,449.46
  5. Step 5: Solve for x
    x = 422,449.46/650.03
  6. Step 6: Final answer
    x = 649.90

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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.