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Finding the Fourth Proportional to 544.05, 816.08 and 414.32

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Solution

The fourth proportional to 544.05, 816.08 and 414.32 is: 621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.05 : 816.08 = 414.32 : x
  2. Step 2: Convert to fraction form
    544.05/816.08 = 414.32/x
  3. Step 3: Cross multiply
    544.05x = 816.08 × 414.32
  4. Step 4: Simplify right side
    544.05x = 338,118.27
  5. Step 5: Solve for x
    x = 338,118.27/544.05
  6. Step 6: Final answer
    x = 621.48

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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.