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Finding the Fourth Proportional to 714.42, 1,071.65 and 227.61

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Solution

The fourth proportional to 714.42, 1,071.65 and 227.61 is: 341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 1,071.65 = 227.61 : x
  2. Step 2: Convert to fraction form
    714.42/1,071.65 = 227.61/x
  3. Step 3: Cross multiply
    714.42x = 1,071.65 × 227.61
  4. Step 4: Simplify right side
    714.42x = 243,917.12
  5. Step 5: Solve for x
    x = 243,917.12/714.42
  6. Step 6: Final answer
    x = 341.42

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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.