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Finding the Fourth Proportional to 544.82, 815.70 and 424.49

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Solution

The fourth proportional to 544.82, 815.70 and 424.49 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.82 : 815.70 = 424.49 : x
  2. Step 2: Convert to fraction form
    544.82/815.70 = 424.49/x
  3. Step 3: Cross multiply
    544.82x = 815.70 × 424.49
  4. Step 4: Simplify right side
    544.82x = 346,256.49
  5. Step 5: Solve for x
    x = 346,256.49/544.82
  6. Step 6: Final answer
    x = 635.54

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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.