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Finding the Fourth Proportional to 378.85, 569.40 and 314.27

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Solution

The fourth proportional to 378.85, 569.40 and 314.27 is: 472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.85 : 569.40 = 314.27 : x
  2. Step 2: Convert to fraction form
    378.85/569.40 = 314.27/x
  3. Step 3: Cross multiply
    378.85x = 569.40 × 314.27
  4. Step 4: Simplify right side
    378.85x = 178,945.34
  5. Step 5: Solve for x
    x = 178,945.34/378.85
  6. Step 6: Final answer
    x = 472.34

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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.