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Finding the Fourth Proportional to 378.82, 566.70 and 338.33

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Solution

The fourth proportional to 378.82, 566.70 and 338.33 is: 506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.82 : 566.70 = 338.33 : x
  2. Step 2: Convert to fraction form
    378.82/566.70 = 338.33/x
  3. Step 3: Cross multiply
    378.82x = 566.70 × 338.33
  4. Step 4: Simplify right side
    378.82x = 191,731.76
  5. Step 5: Solve for x
    x = 191,731.76/378.82
  6. Step 6: Final answer
    x = 506.13

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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.