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Finding the Fourth Proportional to 543.39, 749.81 and 307.37

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Solution

The fourth proportional to 543.39, 749.81 and 307.37 is: 424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.39 : 749.81 = 307.37 : x
  2. Step 2: Convert to fraction form
    543.39/749.81 = 307.37/x
  3. Step 3: Cross multiply
    543.39x = 749.81 × 307.37
  4. Step 4: Simplify right side
    543.39x = 230,470.97
  5. Step 5: Solve for x
    x = 230,470.97/543.39
  6. Step 6: Final answer
    x = 424.13

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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.