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Finding the Fourth Proportional to 355.80, 533.70 and 330.20

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Solution

The fourth proportional to 355.80, 533.70 and 330.20 is: 495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.80 : 533.70 = 330.20 : x
  2. Step 2: Convert to fraction form
    355.80/533.70 = 330.20/x
  3. Step 3: Cross multiply
    355.80x = 533.70 × 330.20
  4. Step 4: Simplify right side
    355.80x = 176,227.74
  5. Step 5: Solve for x
    x = 176,227.74/355.80
  6. Step 6: Final answer
    x = 495.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.