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Finding the Fourth Proportional to 452.06, 622.25 and 393.74

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Solution

The fourth proportional to 452.06, 622.25 and 393.74 is: 541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.06 : 622.25 = 393.74 : x
  2. Step 2: Convert to fraction form
    452.06/622.25 = 393.74/x
  3. Step 3: Cross multiply
    452.06x = 622.25 × 393.74
  4. Step 4: Simplify right side
    452.06x = 245,001.60
  5. Step 5: Solve for x
    x = 245,001.60/452.06
  6. Step 6: Final answer
    x = 541.97

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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.