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Finding the Fourth Proportional to 713.24, 984.49 and 464.12

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Solution

The fourth proportional to 713.24, 984.49 and 464.12 is: 640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.24 : 984.49 = 464.12 : x
  2. Step 2: Convert to fraction form
    713.24/984.49 = 464.12/x
  3. Step 3: Cross multiply
    713.24x = 984.49 × 464.12
  4. Step 4: Simplify right side
    713.24x = 456,921.50
  5. Step 5: Solve for x
    x = 456,921.50/713.24
  6. Step 6: Final answer
    x = 640.63

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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.