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Finding the Fourth Proportional to 451.07, 622.33 and 264.51

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Solution

The fourth proportional to 451.07, 622.33 and 264.51 is: 364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.07 : 622.33 = 264.51 : x
  2. Step 2: Convert to fraction form
    451.07/622.33 = 264.51/x
  3. Step 3: Cross multiply
    451.07x = 622.33 × 264.51
  4. Step 4: Simplify right side
    451.07x = 164,612.51
  5. Step 5: Solve for x
    x = 164,612.51/451.07
  6. Step 6: Final answer
    x = 364.94

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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.