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Finding the Fourth Proportional to 490.46, 675.74 and 464.00

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Solution

The fourth proportional to 490.46, 675.74 and 464.00 is: 639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.46 : 675.74 = 464.00 : x
  2. Step 2: Convert to fraction form
    490.46/675.74 = 464.00/x
  3. Step 3: Cross multiply
    490.46x = 675.74 × 464.00
  4. Step 4: Simplify right side
    490.46x = 313,541.14
  5. Step 5: Solve for x
    x = 313,541.14/490.46
  6. Step 6: Final answer
    x = 639.29

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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.