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Finding the Fourth Proportional to 543.74, 816.42 and 382.46

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Solution

The fourth proportional to 543.74, 816.42 and 382.46 is: 574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.74 : 816.42 = 382.46 : x
  2. Step 2: Convert to fraction form
    543.74/816.42 = 382.46/x
  3. Step 3: Cross multiply
    543.74x = 816.42 × 382.46
  4. Step 4: Simplify right side
    543.74x = 312,247.99
  5. Step 5: Solve for x
    x = 312,247.99/543.74
  6. Step 6: Final answer
    x = 574.26

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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.