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Finding the Fourth Proportional to 451.74, 677.61 and 204.81

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Solution

The fourth proportional to 451.74, 677.61 and 204.81 is: 307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.74 : 677.61 = 204.81 : x
  2. Step 2: Convert to fraction form
    451.74/677.61 = 204.81/x
  3. Step 3: Cross multiply
    451.74x = 677.61 × 204.81
  4. Step 4: Simplify right side
    451.74x = 138,781.30
  5. Step 5: Solve for x
    x = 138,781.30/451.74
  6. Step 6: Final answer
    x = 307.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.