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Finding the Fourth Proportional to 617.62, 852.35 and 352.08

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Solution

The fourth proportional to 617.62, 852.35 and 352.08 is: 485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.62 : 852.35 = 352.08 : x
  2. Step 2: Convert to fraction form
    617.62/852.35 = 352.08/x
  3. Step 3: Cross multiply
    617.62x = 852.35 × 352.08
  4. Step 4: Simplify right side
    617.62x = 300,091.13
  5. Step 5: Solve for x
    x = 300,091.13/617.62
  6. Step 6: Final answer
    x = 485.88

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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.