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Finding the Fourth Proportional to 543.45, 749.49 and 438.50

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Solution

The fourth proportional to 543.45, 749.49 and 438.50 is: 604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.45 : 749.49 = 438.50 : x
  2. Step 2: Convert to fraction form
    543.45/749.49 = 438.50/x
  3. Step 3: Cross multiply
    543.45x = 749.49 × 438.50
  4. Step 4: Simplify right side
    543.45x = 328,651.37
  5. Step 5: Solve for x
    x = 328,651.37/543.45
  6. Step 6: Final answer
    x = 604.75

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