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Finding the Fourth Proportional to 617.50, 852.06 and 355.42

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Solution

The fourth proportional to 617.50, 852.06 and 355.42 is: 490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.50 : 852.06 = 355.42 : x
  2. Step 2: Convert to fraction form
    617.50/852.06 = 355.42/x
  3. Step 3: Cross multiply
    617.50x = 852.06 × 355.42
  4. Step 4: Simplify right side
    617.50x = 302,839.17
  5. Step 5: Solve for x
    x = 302,839.17/617.50
  6. Step 6: Final answer
    x = 490.43

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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.