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Finding the Fourth Proportional to 544.24, 816.48 and 284.16

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Solution

The fourth proportional to 544.24, 816.48 and 284.16 is: 426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.24 : 816.48 = 284.16 : x
  2. Step 2: Convert to fraction form
    544.24/816.48 = 284.16/x
  3. Step 3: Cross multiply
    544.24x = 816.48 × 284.16
  4. Step 4: Simplify right side
    544.24x = 232,010.96
  5. Step 5: Solve for x
    x = 232,010.96/544.24
  6. Step 6: Final answer
    x = 426.30

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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.