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Finding the Fourth Proportional to 668.72, 1,001.72 and 343.50

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Solution

The fourth proportional to 668.72, 1,001.72 and 343.50 is: 514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.72 : 1,001.72 = 343.50 : x
  2. Step 2: Convert to fraction form
    668.72/1,001.72 = 343.50/x
  3. Step 3: Cross multiply
    668.72x = 1,001.72 × 343.50
  4. Step 4: Simplify right side
    668.72x = 344,090.82
  5. Step 5: Solve for x
    x = 344,090.82/668.72
  6. Step 6: Final answer
    x = 514.55

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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.