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Finding the Fourth Proportional to 713.42, 1,070.36 and 226.47

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Solution

The fourth proportional to 713.42, 1,070.36 and 226.47 is: 339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.42 : 1,070.36 = 226.47 : x
  2. Step 2: Convert to fraction form
    713.42/1,070.36 = 226.47/x
  3. Step 3: Cross multiply
    713.42x = 1,070.36 × 226.47
  4. Step 4: Simplify right side
    713.42x = 242,403.30
  5. Step 5: Solve for x
    x = 242,403.30/713.42
  6. Step 6: Final answer
    x = 339.78

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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.