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Finding the Fourth Proportional to 650.38, 896.58 and 464.08

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Solution

The fourth proportional to 650.38, 896.58 and 464.08 is: 639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.38 : 896.58 = 464.08 : x
  2. Step 2: Convert to fraction form
    650.38/896.58 = 464.08/x
  3. Step 3: Cross multiply
    650.38x = 896.58 × 464.08
  4. Step 4: Simplify right side
    650.38x = 416,084.85
  5. Step 5: Solve for x
    x = 416,084.85/650.38
  6. Step 6: Final answer
    x = 639.76

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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.