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Finding the Fourth Proportional to 551.93, 827.13 and 278.20

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Solution

The fourth proportional to 551.93, 827.13 and 278.20 is: 416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.93 : 827.13 = 278.20 : x
  2. Step 2: Convert to fraction form
    551.93/827.13 = 278.20/x
  3. Step 3: Cross multiply
    551.93x = 827.13 × 278.20
  4. Step 4: Simplify right side
    551.93x = 230,109.64
  5. Step 5: Solve for x
    x = 230,109.64/551.93
  6. Step 6: Final answer
    x = 416.92

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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.