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Finding the Fourth Proportional to 713.47, 1,070.34 and 226.57

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Solution

The fourth proportional to 713.47, 1,070.34 and 226.57 is: 339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.47 : 1,070.34 = 226.57 : x
  2. Step 2: Convert to fraction form
    713.47/1,070.34 = 226.57/x
  3. Step 3: Cross multiply
    713.47x = 1,070.34 × 226.57
  4. Step 4: Simplify right side
    713.47x = 242,506.93
  5. Step 5: Solve for x
    x = 242,506.93/713.47
  6. Step 6: Final answer
    x = 339.90

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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.