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Finding the Fourth Proportional to 464.28, 695.14 and 244.44

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Solution

The fourth proportional to 464.28, 695.14 and 244.44 is: 365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.28 : 695.14 = 244.44 : x
  2. Step 2: Convert to fraction form
    464.28/695.14 = 244.44/x
  3. Step 3: Cross multiply
    464.28x = 695.14 × 244.44
  4. Step 4: Simplify right side
    464.28x = 169,920.02
  5. Step 5: Solve for x
    x = 169,920.02/464.28
  6. Step 6: Final answer
    x = 365.99

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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.