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Finding the Fourth Proportional to 543.34, 749.81 and 294.66

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Solution

The fourth proportional to 543.34, 749.81 and 294.66 is: 406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.34 : 749.81 = 294.66 : x
  2. Step 2: Convert to fraction form
    543.34/749.81 = 294.66/x
  3. Step 3: Cross multiply
    543.34x = 749.81 × 294.66
  4. Step 4: Simplify right side
    543.34x = 220,935.98
  5. Step 5: Solve for x
    x = 220,935.98/543.34
  6. Step 6: Final answer
    x = 406.63

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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.