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Finding the Fourth Proportional to 378.76, 522.54 and 231.28

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Solution

The fourth proportional to 378.76, 522.54 and 231.28 is: 319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.76 : 522.54 = 231.28 : x
  2. Step 2: Convert to fraction form
    378.76/522.54 = 231.28/x
  3. Step 3: Cross multiply
    378.76x = 522.54 × 231.28
  4. Step 4: Simplify right side
    378.76x = 120,853.05
  5. Step 5: Solve for x
    x = 120,853.05/378.76
  6. Step 6: Final answer
    x = 319.08

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Find fourth proportional to 189.38, 261.27 and 115.64
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.