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Finding the Fourth Proportional to 378.50, 522.36 and 231.16

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Solution

The fourth proportional to 378.50, 522.36 and 231.16 is: 319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 522.36 = 231.16 : x
  2. Step 2: Convert to fraction form
    378.50/522.36 = 231.16/x
  3. Step 3: Cross multiply
    378.50x = 522.36 × 231.16
  4. Step 4: Simplify right side
    378.50x = 120,748.74
  5. Step 5: Solve for x
    x = 120,748.74/378.50
  6. Step 6: Final answer
    x = 319.02

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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.