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Finding the Fourth Proportional to 543.64, 815.36 and 338.30

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Solution

The fourth proportional to 543.64, 815.36 and 338.30 is: 507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.64 : 815.36 = 338.30 : x
  2. Step 2: Convert to fraction form
    543.64/815.36 = 338.30/x
  3. Step 3: Cross multiply
    543.64x = 815.36 × 338.30
  4. Step 4: Simplify right side
    543.64x = 275,836.29
  5. Step 5: Solve for x
    x = 275,836.29/543.64
  6. Step 6: Final answer
    x = 507.39

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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.