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Finding the Fourth Proportional to 543.48, 814.80 and 338

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Solution

The fourth proportional to 543.48, 814.80 and 338 is: 506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.48 : 814.80 = 338 : x
  2. Step 2: Convert to fraction form
    543.48/814.80 = 338/x
  3. Step 3: Cross multiply
    543.48x = 814.80 × 338
  4. Step 4: Simplify right side
    543.48x = 275,402.40
  5. Step 5: Solve for x
    x = 275,402.40/543.48
  6. Step 6: Final answer
    x = 506.74

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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.