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Finding the Fourth Proportional to 714.35, 1,071.61 and 227.29

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Solution

The fourth proportional to 714.35, 1,071.61 and 227.29 is: 340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.35 : 1,071.61 = 227.29 : x
  2. Step 2: Convert to fraction form
    714.35/1,071.61 = 227.29/x
  3. Step 3: Cross multiply
    714.35x = 1,071.61 × 227.29
  4. Step 4: Simplify right side
    714.35x = 243,562.42
  5. Step 5: Solve for x
    x = 243,562.42/714.35
  6. Step 6: Final answer
    x = 340.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.