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Finding the Fourth Proportional to 451.40, 622.80 and 285.47

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Solution

The fourth proportional to 451.40, 622.80 and 285.47 is: 393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.40 : 622.80 = 285.47 : x
  2. Step 2: Convert to fraction form
    451.40/622.80 = 285.47/x
  3. Step 3: Cross multiply
    451.40x = 622.80 × 285.47
  4. Step 4: Simplify right side
    451.40x = 177,790.72
  5. Step 5: Solve for x
    x = 177,790.72/451.40
  6. Step 6: Final answer
    x = 393.87

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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.