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Finding the Fourth Proportional to 378.32, 566.37 and 287.37

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Solution

The fourth proportional to 378.32, 566.37 and 287.37 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.32 : 566.37 = 287.37 : x
  2. Step 2: Convert to fraction form
    378.32/566.37 = 287.37/x
  3. Step 3: Cross multiply
    378.32x = 566.37 × 287.37
  4. Step 4: Simplify right side
    378.32x = 162,759.88
  5. Step 5: Solve for x
    x = 162,759.88/378.32
  6. Step 6: Final answer
    x = 430.22

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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.