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Finding the Fourth Proportional to 543.10, 749.40 and 310.22

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Solution

The fourth proportional to 543.10, 749.40 and 310.22 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.10 : 749.40 = 310.22 : x
  2. Step 2: Convert to fraction form
    543.10/749.40 = 310.22/x
  3. Step 3: Cross multiply
    543.10x = 749.40 × 310.22
  4. Step 4: Simplify right side
    543.10x = 232,478.87
  5. Step 5: Solve for x
    x = 232,478.87/543.10
  6. Step 6: Final answer
    x = 428.06

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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.