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Finding the Fourth Proportional to 356.80, 535.71 and 203.03

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Solution

The fourth proportional to 356.80, 535.71 and 203.03 is: 304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 535.71 = 203.03 : x
  2. Step 2: Convert to fraction form
    356.80/535.71 = 203.03/x
  3. Step 3: Cross multiply
    356.80x = 535.71 × 203.03
  4. Step 4: Simplify right side
    356.80x = 108,766.03
  5. Step 5: Solve for x
    x = 108,766.03/356.80
  6. Step 6: Final answer
    x = 304.84

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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.