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Finding the Fourth Proportional to 650.62, 896.55 and 463.78

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Solution

The fourth proportional to 650.62, 896.55 and 463.78 is: 639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.62 : 896.55 = 463.78 : x
  2. Step 2: Convert to fraction form
    650.62/896.55 = 463.78/x
  3. Step 3: Cross multiply
    650.62x = 896.55 × 463.78
  4. Step 4: Simplify right side
    650.62x = 415,797.48
  5. Step 5: Solve for x
    x = 415,797.48/650.62
  6. Step 6: Final answer
    x = 639.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.