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Finding the Fourth Proportional to 451.49, 623.06 and 264.97

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Solution

The fourth proportional to 451.49, 623.06 and 264.97 is: 365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.49 : 623.06 = 264.97 : x
  2. Step 2: Convert to fraction form
    451.49/623.06 = 264.97/x
  3. Step 3: Cross multiply
    451.49x = 623.06 × 264.97
  4. Step 4: Simplify right side
    451.49x = 165,092.66
  5. Step 5: Solve for x
    x = 165,092.66/451.49
  6. Step 6: Final answer
    x = 365.66

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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.