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Finding the Fourth Proportional to 543.42, 814.41 and 478.17

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Solution

The fourth proportional to 543.42, 814.41 and 478.17 is: 716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.42 : 814.41 = 478.17 : x
  2. Step 2: Convert to fraction form
    543.42/814.41 = 478.17/x
  3. Step 3: Cross multiply
    543.42x = 814.41 × 478.17
  4. Step 4: Simplify right side
    543.42x = 389,426.43
  5. Step 5: Solve for x
    x = 389,426.43/543.42
  6. Step 6: Final answer
    x = 716.62

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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.