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Finding the Fourth Proportional to 930.44, 1,395.82 and 314.36

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Solution

The fourth proportional to 930.44, 1,395.82 and 314.36 is: 471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.44 : 1,395.82 = 314.36 : x
  2. Step 2: Convert to fraction form
    930.44/1,395.82 = 314.36/x
  3. Step 3: Cross multiply
    930.44x = 1,395.82 × 314.36
  4. Step 4: Simplify right side
    930.44x = 438,789.98
  5. Step 5: Solve for x
    x = 438,789.98/930.44
  6. Step 6: Final answer
    x = 471.59

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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.