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Finding the Fourth Proportional to 930.54, 1,396.02 and 314.23

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Solution

The fourth proportional to 930.54, 1,396.02 and 314.23 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.54 : 1,396.02 = 314.23 : x
  2. Step 2: Convert to fraction form
    930.54/1,396.02 = 314.23/x
  3. Step 3: Cross multiply
    930.54x = 1,396.02 × 314.23
  4. Step 4: Simplify right side
    930.54x = 438,671.36
  5. Step 5: Solve for x
    x = 438,671.36/930.54
  6. Step 6: Final answer
    x = 471.42

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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.