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Finding the Fourth Proportional to 378.83, 571.08 and 353.75

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Solution

The fourth proportional to 378.83, 571.08 and 353.75 is: 533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.83 : 571.08 = 353.75 : x
  2. Step 2: Convert to fraction form
    378.83/571.08 = 353.75/x
  3. Step 3: Cross multiply
    378.83x = 571.08 × 353.75
  4. Step 4: Simplify right side
    378.83x = 202,016.69
  5. Step 5: Solve for x
    x = 202,016.69/378.83
  6. Step 6: Final answer
    x = 533.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.