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Finding the Fourth Proportional to 543.92, 750.67 and 366.80

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Solution

The fourth proportional to 543.92, 750.67 and 366.80 is: 506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.92 : 750.67 = 366.80 : x
  2. Step 2: Convert to fraction form
    543.92/750.67 = 366.80/x
  3. Step 3: Cross multiply
    543.92x = 750.67 × 366.80
  4. Step 4: Simplify right side
    543.92x = 275,341.09
  5. Step 5: Solve for x
    x = 275,341.09/543.92
  6. Step 6: Final answer
    x = 506.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.