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Finding the Fourth Proportional to 543.54, 815.61 and 231.16

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Solution

The fourth proportional to 543.54, 815.61 and 231.16 is: 346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.54 : 815.61 = 231.16 : x
  2. Step 2: Convert to fraction form
    543.54/815.61 = 231.16/x
  3. Step 3: Cross multiply
    543.54x = 815.61 × 231.16
  4. Step 4: Simplify right side
    543.54x = 188,536.41
  5. Step 5: Solve for x
    x = 188,536.41/543.54
  6. Step 6: Final answer
    x = 346.87

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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.