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Finding the Fourth Proportional to 355.20, 496.20 and 355.20

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Solution

The fourth proportional to 355.20, 496.20 and 355.20 is: 496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.20 : 496.20 = 355.20 : x
  2. Step 2: Convert to fraction form
    355.20/496.20 = 355.20/x
  3. Step 3: Cross multiply
    355.20x = 496.20 × 355.20
  4. Step 4: Simplify right side
    355.20x = 176,250.24
  5. Step 5: Solve for x
    x = 176,250.24/355.20
  6. Step 6: Final answer
    x = 496.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.