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Finding the Fourth Proportional to 451.41, 622.91 and 264.89

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Solution

The fourth proportional to 451.41, 622.91 and 264.89 is: 365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.41 : 622.91 = 264.89 : x
  2. Step 2: Convert to fraction form
    451.41/622.91 = 264.89/x
  3. Step 3: Cross multiply
    451.41x = 622.91 × 264.89
  4. Step 4: Simplify right side
    451.41x = 164,998.19
  5. Step 5: Solve for x
    x = 164,998.19/451.41
  6. Step 6: Final answer
    x = 365.52

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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.