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Finding the Fourth Proportional to 551.10, 825.24 and 415.02

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Solution

The fourth proportional to 551.10, 825.24 and 415.02 is: 621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.10 : 825.24 = 415.02 : x
  2. Step 2: Convert to fraction form
    551.10/825.24 = 415.02/x
  3. Step 3: Cross multiply
    551.10x = 825.24 × 415.02
  4. Step 4: Simplify right side
    551.10x = 342,491.10
  5. Step 5: Solve for x
    x = 342,491.10/551.10
  6. Step 6: Final answer
    x = 621.47

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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.