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Finding the Fourth Proportional to 538.55, 807.92 and 278.67

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Solution

The fourth proportional to 538.55, 807.92 and 278.67 is: 418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.55 : 807.92 = 278.67 : x
  2. Step 2: Convert to fraction form
    538.55/807.92 = 278.67/x
  3. Step 3: Cross multiply
    538.55x = 807.92 × 278.67
  4. Step 4: Simplify right side
    538.55x = 225,141.67
  5. Step 5: Solve for x
    x = 225,141.67/538.55
  6. Step 6: Final answer
    x = 418.06

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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.