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Finding the Fourth Proportional to 543.67, 750.32 and 310.75

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Solution

The fourth proportional to 543.67, 750.32 and 310.75 is: 428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.67 : 750.32 = 310.75 : x
  2. Step 2: Convert to fraction form
    543.67/750.32 = 310.75/x
  3. Step 3: Cross multiply
    543.67x = 750.32 × 310.75
  4. Step 4: Simplify right side
    543.67x = 233,161.94
  5. Step 5: Solve for x
    x = 233,161.94/543.67
  6. Step 6: Final answer
    x = 428.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.