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Finding the Fourth Proportional to 378.48, 566.34 and 239.16

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Solution

The fourth proportional to 378.48, 566.34 and 239.16 is: 357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.48 : 566.34 = 239.16 : x
  2. Step 2: Convert to fraction form
    378.48/566.34 = 239.16/x
  3. Step 3: Cross multiply
    378.48x = 566.34 × 239.16
  4. Step 4: Simplify right side
    378.48x = 135,445.87
  5. Step 5: Solve for x
    x = 135,445.87/378.48
  6. Step 6: Final answer
    x = 357.87

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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.