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Finding the Fourth Proportional to 551.01, 826.91 and 414.42

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Solution

The fourth proportional to 551.01, 826.91 and 414.42 is: 621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.01 : 826.91 = 414.42 : x
  2. Step 2: Convert to fraction form
    551.01/826.91 = 414.42/x
  3. Step 3: Cross multiply
    551.01x = 826.91 × 414.42
  4. Step 4: Simplify right side
    551.01x = 342,688.04
  5. Step 5: Solve for x
    x = 342,688.04/551.01
  6. Step 6: Final answer
    x = 621.93

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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.