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Finding the Fourth Proportional to 378.23, 564.57 and 350.40

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Solution

The fourth proportional to 378.23, 564.57 and 350.40 is: 523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.23 : 564.57 = 350.40 : x
  2. Step 2: Convert to fraction form
    378.23/564.57 = 350.40/x
  3. Step 3: Cross multiply
    378.23x = 564.57 × 350.40
  4. Step 4: Simplify right side
    378.23x = 197,825.33
  5. Step 5: Solve for x
    x = 197,825.33/378.23
  6. Step 6: Final answer
    x = 523.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.