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Finding the Fourth Proportional to 551.27, 760.06 and 463.09

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Solution

The fourth proportional to 551.27, 760.06 and 463.09 is: 638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.27 : 760.06 = 463.09 : x
  2. Step 2: Convert to fraction form
    551.27/760.06 = 463.09/x
  3. Step 3: Cross multiply
    551.27x = 760.06 × 463.09
  4. Step 4: Simplify right side
    551.27x = 351,976.19
  5. Step 5: Solve for x
    x = 351,976.19/551.27
  6. Step 6: Final answer
    x = 638.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.