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Finding the Fourth Proportional to 543.16, 813.66 and 254.26

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Solution

The fourth proportional to 543.16, 813.66 and 254.26 is: 380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 813.66 = 254.26 : x
  2. Step 2: Convert to fraction form
    543.16/813.66 = 254.26/x
  3. Step 3: Cross multiply
    543.16x = 813.66 × 254.26
  4. Step 4: Simplify right side
    543.16x = 206,881.19
  5. Step 5: Solve for x
    x = 206,881.19/543.16
  6. Step 6: Final answer
    x = 380.88

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Why These Related Problems?

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