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Finding the Fourth Proportional to 551.74, 827.04 and 204.76

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Solution

The fourth proportional to 551.74, 827.04 and 204.76 is: 306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.74 : 827.04 = 204.76 : x
  2. Step 2: Convert to fraction form
    551.74/827.04 = 204.76/x
  3. Step 3: Cross multiply
    551.74x = 827.04 × 204.76
  4. Step 4: Simplify right side
    551.74x = 169,344.71
  5. Step 5: Solve for x
    x = 169,344.71/551.74
  6. Step 6: Final answer
    x = 306.93

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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.