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Finding the Fourth Proportional to 543.06, 749.43 and 294.38

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Solution

The fourth proportional to 543.06, 749.43 and 294.38 is: 406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.06 : 749.43 = 294.38 : x
  2. Step 2: Convert to fraction form
    543.06/749.43 = 294.38/x
  3. Step 3: Cross multiply
    543.06x = 749.43 × 294.38
  4. Step 4: Simplify right side
    543.06x = 220,618.34
  5. Step 5: Solve for x
    x = 220,618.34/543.06
  6. Step 6: Final answer
    x = 406.25

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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.