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Finding the Fourth Proportional to 617.55, 852.21 and 337.78

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Solution

The fourth proportional to 617.55, 852.21 and 337.78 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.55 : 852.21 = 337.78 : x
  2. Step 2: Convert to fraction form
    617.55/852.21 = 337.78/x
  3. Step 3: Cross multiply
    617.55x = 852.21 × 337.78
  4. Step 4: Simplify right side
    617.55x = 287,859.49
  5. Step 5: Solve for x
    x = 287,859.49/617.55
  6. Step 6: Final answer
    x = 466.13

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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.