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Finding the Fourth Proportional to 464.02, 695.70 and 327.34

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Solution

The fourth proportional to 464.02, 695.70 and 327.34 is: 490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 695.70 = 327.34 : x
  2. Step 2: Convert to fraction form
    464.02/695.70 = 327.34/x
  3. Step 3: Cross multiply
    464.02x = 695.70 × 327.34
  4. Step 4: Simplify right side
    464.02x = 227,730.44
  5. Step 5: Solve for x
    x = 227,730.44/464.02
  6. Step 6: Final answer
    x = 490.78

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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.