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Finding the Fourth Proportional to 617.84, 852.66 and 355.85

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Solution

The fourth proportional to 617.84, 852.66 and 355.85 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.84 : 852.66 = 355.85 : x
  2. Step 2: Convert to fraction form
    617.84/852.66 = 355.85/x
  3. Step 3: Cross multiply
    617.84x = 852.66 × 355.85
  4. Step 4: Simplify right side
    617.84x = 303,414.80
  5. Step 5: Solve for x
    x = 303,414.80/617.84
  6. Step 6: Final answer
    x = 491.09

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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.