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Finding the Fourth Proportional to 543.36, 813.21 and 337.21

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Solution

The fourth proportional to 543.36, 813.21 and 337.21 is: 504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.36 : 813.21 = 337.21 : x
  2. Step 2: Convert to fraction form
    543.36/813.21 = 337.21/x
  3. Step 3: Cross multiply
    543.36x = 813.21 × 337.21
  4. Step 4: Simplify right side
    543.36x = 274,222.54
  5. Step 5: Solve for x
    x = 274,222.54/543.36
  6. Step 6: Final answer
    x = 504.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.