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Finding the Fourth Proportional to 538.87, 807.90 and 278.76

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Solution

The fourth proportional to 538.87, 807.90 and 278.76 is: 417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.87 : 807.90 = 278.76 : x
  2. Step 2: Convert to fraction form
    538.87/807.90 = 278.76/x
  3. Step 3: Cross multiply
    538.87x = 807.90 × 278.76
  4. Step 4: Simplify right side
    538.87x = 225,204.77
  5. Step 5: Solve for x
    x = 225,204.77/538.87
  6. Step 6: Final answer
    x = 417.92

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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.