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Finding the Fourth Proportional to 543.26, 749.74 and 310.42

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Solution

The fourth proportional to 543.26, 749.74 and 310.42 is: 428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.26 : 749.74 = 310.42 : x
  2. Step 2: Convert to fraction form
    543.26/749.74 = 310.42/x
  3. Step 3: Cross multiply
    543.26x = 749.74 × 310.42
  4. Step 4: Simplify right side
    543.26x = 232,734.29
  5. Step 5: Solve for x
    x = 232,734.29/543.26
  6. Step 6: Final answer
    x = 428.40

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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.