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Finding the Fourth Proportional to 648.08, 971.42 and 464.92

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Solution

The fourth proportional to 648.08, 971.42 and 464.92 is: 696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.08 : 971.42 = 464.92 : x
  2. Step 2: Convert to fraction form
    648.08/971.42 = 464.92/x
  3. Step 3: Cross multiply
    648.08x = 971.42 × 464.92
  4. Step 4: Simplify right side
    648.08x = 451,632.59
  5. Step 5: Solve for x
    x = 451,632.59/648.08
  6. Step 6: Final answer
    x = 696.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.