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Finding the Fourth Proportional to 451.29, 622.90 and 294.32

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Solution

The fourth proportional to 451.29, 622.90 and 294.32 is: 406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.29 : 622.90 = 294.32 : x
  2. Step 2: Convert to fraction form
    451.29/622.90 = 294.32/x
  3. Step 3: Cross multiply
    451.29x = 622.90 × 294.32
  4. Step 4: Simplify right side
    451.29x = 183,331.93
  5. Step 5: Solve for x
    x = 183,331.93/451.29
  6. Step 6: Final answer
    x = 406.24

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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.