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Finding the Fourth Proportional to 551.47, 827.28 and 204.76

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Solution

The fourth proportional to 551.47, 827.28 and 204.76 is: 307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.47 : 827.28 = 204.76 : x
  2. Step 2: Convert to fraction form
    551.47/827.28 = 204.76/x
  3. Step 3: Cross multiply
    551.47x = 827.28 × 204.76
  4. Step 4: Simplify right side
    551.47x = 169,393.85
  5. Step 5: Solve for x
    x = 169,393.85/551.47
  6. Step 6: Final answer
    x = 307.17

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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.