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Finding the Fourth Proportional to 365.31, 547.47 and 278.73

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Solution

The fourth proportional to 365.31, 547.47 and 278.73 is: 417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 547.47 = 278.73 : x
  2. Step 2: Convert to fraction form
    365.31/547.47 = 278.73/x
  3. Step 3: Cross multiply
    365.31x = 547.47 × 278.73
  4. Step 4: Simplify right side
    365.31x = 152,596.31
  5. Step 5: Solve for x
    x = 152,596.31/365.31
  6. Step 6: Final answer
    x = 417.72

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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.