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Finding the Fourth Proportional to 551.70, 827.10 and 204.93

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Solution

The fourth proportional to 551.70, 827.10 and 204.93 is: 307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.70 : 827.10 = 204.93 : x
  2. Step 2: Convert to fraction form
    551.70/827.10 = 204.93/x
  3. Step 3: Cross multiply
    551.70x = 827.10 × 204.93
  4. Step 4: Simplify right side
    551.70x = 169,497.60
  5. Step 5: Solve for x
    x = 169,497.60/551.70
  6. Step 6: Final answer
    x = 307.23

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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.