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Finding the Fourth Proportional to 544.24, 752.16 and 404.56

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Solution

The fourth proportional to 544.24, 752.16 and 404.56 is: 559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.24 : 752.16 = 404.56 : x
  2. Step 2: Convert to fraction form
    544.24/752.16 = 404.56/x
  3. Step 3: Cross multiply
    544.24x = 752.16 × 404.56
  4. Step 4: Simplify right side
    544.24x = 304,293.85
  5. Step 5: Solve for x
    x = 304,293.85/544.24
  6. Step 6: Final answer
    x = 559.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.