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Finding the Fourth Proportional to 356.64, 534.24 and 301.56

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Solution

The fourth proportional to 356.64, 534.24 and 301.56 is: 451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.64 : 534.24 = 301.56 : x
  2. Step 2: Convert to fraction form
    356.64/534.24 = 301.56/x
  3. Step 3: Cross multiply
    356.64x = 534.24 × 301.56
  4. Step 4: Simplify right side
    356.64x = 161,105.41
  5. Step 5: Solve for x
    x = 161,105.41/356.64
  6. Step 6: Final answer
    x = 451.73

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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.