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Finding the Fourth Proportional to 713.96, 1,071.08 and 227.00

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Solution

The fourth proportional to 713.96, 1,071.08 and 227.00 is: 340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.96 : 1,071.08 = 227.00 : x
  2. Step 2: Convert to fraction form
    713.96/1,071.08 = 227.00/x
  3. Step 3: Cross multiply
    713.96x = 1,071.08 × 227.00
  4. Step 4: Simplify right side
    713.96x = 243,130.37
  5. Step 5: Solve for x
    x = 243,130.37/713.96
  6. Step 6: Final answer
    x = 340.54

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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.