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Finding the Fourth Proportional to 364.86, 546.42 and 278.09

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Solution

The fourth proportional to 364.86, 546.42 and 278.09 is: 416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.86 : 546.42 = 278.09 : x
  2. Step 2: Convert to fraction form
    364.86/546.42 = 278.09/x
  3. Step 3: Cross multiply
    364.86x = 546.42 × 278.09
  4. Step 4: Simplify right side
    364.86x = 151,951.21
  5. Step 5: Solve for x
    x = 151,951.21/364.86
  6. Step 6: Final answer
    x = 416.46

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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.