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Finding the Fourth Proportional to 543.26, 813.51 and 299.52

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Solution

The fourth proportional to 543.26, 813.51 and 299.52 is: 448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.26 : 813.51 = 299.52 : x
  2. Step 2: Convert to fraction form
    543.26/813.51 = 299.52/x
  3. Step 3: Cross multiply
    543.26x = 813.51 × 299.52
  4. Step 4: Simplify right side
    543.26x = 243,662.52
  5. Step 5: Solve for x
    x = 243,662.52/543.26
  6. Step 6: Final answer
    x = 448.52

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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.