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Finding the Fourth Proportional to 617.65, 852.30 and 355.66

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Solution

The fourth proportional to 617.65, 852.30 and 355.66 is: 490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.65 : 852.30 = 355.66 : x
  2. Step 2: Convert to fraction form
    617.65/852.30 = 355.66/x
  3. Step 3: Cross multiply
    617.65x = 852.30 × 355.66
  4. Step 4: Simplify right side
    617.65x = 303,129.02
  5. Step 5: Solve for x
    x = 303,129.02/617.65
  6. Step 6: Final answer
    x = 490.78

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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.