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Finding the Fourth Proportional to 356.09, 533.22 and 301.41

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Solution

The fourth proportional to 356.09, 533.22 and 301.41 is: 451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.09 : 533.22 = 301.41 : x
  2. Step 2: Convert to fraction form
    356.09/533.22 = 301.41/x
  3. Step 3: Cross multiply
    356.09x = 533.22 × 301.41
  4. Step 4: Simplify right side
    356.09x = 160,717.84
  5. Step 5: Solve for x
    x = 160,717.84/356.09
  6. Step 6: Final answer
    x = 451.35

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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.