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Finding the Fourth Proportional to 543.97, 749.50 and 369.01

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Solution

The fourth proportional to 543.97, 749.50 and 369.01 is: 508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.97 : 749.50 = 369.01 : x
  2. Step 2: Convert to fraction form
    543.97/749.50 = 369.01/x
  3. Step 3: Cross multiply
    543.97x = 749.50 × 369.01
  4. Step 4: Simplify right side
    543.97x = 276,573.00
  5. Step 5: Solve for x
    x = 276,573.00/543.97
  6. Step 6: Final answer
    x = 508.43

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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.