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Finding the Fourth Proportional to 543.70, 736.43 and 543.70

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Solution

The fourth proportional to 543.70, 736.43 and 543.70 is: 736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.70 : 736.43 = 543.70 : x
  2. Step 2: Convert to fraction form
    543.70/736.43 = 543.70/x
  3. Step 3: Cross multiply
    543.70x = 736.43 × 543.70
  4. Step 4: Simplify right side
    543.70x = 400,396.99
  5. Step 5: Solve for x
    x = 400,396.99/543.70
  6. Step 6: Final answer
    x = 736.43

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.