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Finding the Fourth Proportional to 543.35, 815.14 and 254.63

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Solution

The fourth proportional to 543.35, 815.14 and 254.63 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.35 : 815.14 = 254.63 : x
  2. Step 2: Convert to fraction form
    543.35/815.14 = 254.63/x
  3. Step 3: Cross multiply
    543.35x = 815.14 × 254.63
  4. Step 4: Simplify right side
    543.35x = 207,555.02
  5. Step 5: Solve for x
    x = 207,555.02/543.35
  6. Step 6: Final answer
    x = 381.99

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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.