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Finding the Fourth Proportional to 543.45, 749.49 and 356.94

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Solution

The fourth proportional to 543.45, 749.49 and 356.94 is: 492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.45 : 749.49 = 356.94 : x
  2. Step 2: Convert to fraction form
    543.45/749.49 = 356.94/x
  3. Step 3: Cross multiply
    543.45x = 749.49 × 356.94
  4. Step 4: Simplify right side
    543.45x = 267,522.96
  5. Step 5: Solve for x
    x = 267,522.96/543.45
  6. Step 6: Final answer
    x = 492.27

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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.