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Finding the Fourth Proportional to 617.42, 852.06 and 355.46

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Solution

The fourth proportional to 617.42, 852.06 and 355.46 is: 490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.42 : 852.06 = 355.46 : x
  2. Step 2: Convert to fraction form
    617.42/852.06 = 355.46/x
  3. Step 3: Cross multiply
    617.42x = 852.06 × 355.46
  4. Step 4: Simplify right side
    617.42x = 302,873.25
  5. Step 5: Solve for x
    x = 302,873.25/617.42
  6. Step 6: Final answer
    x = 490.55

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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.