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Finding the Fourth Proportional to 464.45, 640.90 and 265.25

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Solution

The fourth proportional to 464.45, 640.90 and 265.25 is: 366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.45 : 640.90 = 265.25 : x
  2. Step 2: Convert to fraction form
    464.45/640.90 = 265.25/x
  3. Step 3: Cross multiply
    464.45x = 640.90 × 265.25
  4. Step 4: Simplify right side
    464.45x = 169,998.73
  5. Step 5: Solve for x
    x = 169,998.73/464.45
  6. Step 6: Final answer
    x = 366.02

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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.