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Finding the Fourth Proportional to 551.64, 827.74 and 308.28

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Solution

The fourth proportional to 551.64, 827.74 and 308.28 is: 462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.64 : 827.74 = 308.28 : x
  2. Step 2: Convert to fraction form
    551.64/827.74 = 308.28/x
  3. Step 3: Cross multiply
    551.64x = 827.74 × 308.28
  4. Step 4: Simplify right side
    551.64x = 255,175.69
  5. Step 5: Solve for x
    x = 255,175.69/551.64
  6. Step 6: Final answer
    x = 462.58

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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.