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Finding the Fourth Proportional to 464.24, 695.60 and 281.69

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Solution

The fourth proportional to 464.24, 695.60 and 281.69 is: 422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 695.60 = 281.69 : x
  2. Step 2: Convert to fraction form
    464.24/695.60 = 281.69/x
  3. Step 3: Cross multiply
    464.24x = 695.60 × 281.69
  4. Step 4: Simplify right side
    464.24x = 195,943.56
  5. Step 5: Solve for x
    x = 195,943.56/464.24
  6. Step 6: Final answer
    x = 422.07

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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.