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Finding the Fourth Proportional to 544.15, 816.99 and 284.34

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Solution

The fourth proportional to 544.15, 816.99 and 284.34 is: 426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.15 : 816.99 = 284.34 : x
  2. Step 2: Convert to fraction form
    544.15/816.99 = 284.34/x
  3. Step 3: Cross multiply
    544.15x = 816.99 × 284.34
  4. Step 4: Simplify right side
    544.15x = 232,304.93
  5. Step 5: Solve for x
    x = 232,304.93/544.15
  6. Step 6: Final answer
    x = 426.91

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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.