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Finding the Fourth Proportional to 543.84, 816.16 and 338.71

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Solution

The fourth proportional to 543.84, 816.16 and 338.71 is: 508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.84 : 816.16 = 338.71 : x
  2. Step 2: Convert to fraction form
    543.84/816.16 = 338.71/x
  3. Step 3: Cross multiply
    543.84x = 816.16 × 338.71
  4. Step 4: Simplify right side
    543.84x = 276,441.55
  5. Step 5: Solve for x
    x = 276,441.55/543.84
  6. Step 6: Final answer
    x = 508.31

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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.