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Finding the Fourth Proportional to 378.50, 522.26 and 229.08

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Solution

The fourth proportional to 378.50, 522.26 and 229.08 is: 316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 522.26 = 229.08 : x
  2. Step 2: Convert to fraction form
    378.50/522.26 = 229.08/x
  3. Step 3: Cross multiply
    378.50x = 522.26 × 229.08
  4. Step 4: Simplify right side
    378.50x = 119,638.18
  5. Step 5: Solve for x
    x = 119,638.18/378.50
  6. Step 6: Final answer
    x = 316.08

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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.