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Finding the Fourth Proportional to 650.40, 896.26 and 463.56

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Solution

The fourth proportional to 650.40, 896.26 and 463.56 is: 638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 896.26 = 463.56 : x
  2. Step 2: Convert to fraction form
    650.40/896.26 = 463.56/x
  3. Step 3: Cross multiply
    650.40x = 896.26 × 463.56
  4. Step 4: Simplify right side
    650.40x = 415,470.29
  5. Step 5: Solve for x
    x = 415,470.29/650.40
  6. Step 6: Final answer
    x = 638.79

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1.5x scale

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.