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Finding the Fourth Proportional to 929.27, 1,393.05 and 343.96

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Solution

The fourth proportional to 929.27, 1,393.05 and 343.96 is: 515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.27 : 1,393.05 = 343.96 : x
  2. Step 2: Convert to fraction form
    929.27/1,393.05 = 343.96/x
  3. Step 3: Cross multiply
    929.27x = 1,393.05 × 343.96
  4. Step 4: Simplify right side
    929.27x = 479,146.51
  5. Step 5: Solve for x
    x = 479,146.51/929.27
  6. Step 6: Final answer
    x = 515.62

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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.