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Finding the Fourth Proportional to 538.22, 807.74 and 278.43

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Solution

The fourth proportional to 538.22, 807.74 and 278.43 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.22 : 807.74 = 278.43 : x
  2. Step 2: Convert to fraction form
    538.22/807.74 = 278.43/x
  3. Step 3: Cross multiply
    538.22x = 807.74 × 278.43
  4. Step 4: Simplify right side
    538.22x = 224,897.66
  5. Step 5: Solve for x
    x = 224,897.66/538.22
  6. Step 6: Final answer
    x = 417.86

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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.