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Finding the Fourth Proportional to 617.78, 852.19 and 544.28

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Solution

The fourth proportional to 617.78, 852.19 and 544.28 is: 750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.78 : 852.19 = 544.28 : x
  2. Step 2: Convert to fraction form
    617.78/852.19 = 544.28/x
  3. Step 3: Cross multiply
    617.78x = 852.19 × 544.28
  4. Step 4: Simplify right side
    617.78x = 463,824.35
  5. Step 5: Solve for x
    x = 463,824.35/617.78
  6. Step 6: Final answer
    x = 750.79

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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.