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Finding the Fourth Proportional to 543.24, 815.09 and 234.94

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Solution

The fourth proportional to 543.24, 815.09 and 234.94 is: 352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 815.09 = 234.94 : x
  2. Step 2: Convert to fraction form
    543.24/815.09 = 234.94/x
  3. Step 3: Cross multiply
    543.24x = 815.09 × 234.94
  4. Step 4: Simplify right side
    543.24x = 191,495.79
  5. Step 5: Solve for x
    x = 191,495.79/543.24
  6. Step 6: Final answer
    x = 352.51

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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.