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Finding the Fourth Proportional to 384.99, 531.23 and 227.56

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Solution

The fourth proportional to 384.99, 531.23 and 227.56 is: 314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.99 : 531.23 = 227.56 : x
  2. Step 2: Convert to fraction form
    384.99/531.23 = 227.56/x
  3. Step 3: Cross multiply
    384.99x = 531.23 × 227.56
  4. Step 4: Simplify right side
    384.99x = 120,885.23
  5. Step 5: Solve for x
    x = 120,885.23/384.99
  6. Step 6: Final answer
    x = 314.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.