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Finding the Fourth Proportional to 364.70, 546.32 and 278.12

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Solution

The fourth proportional to 364.70, 546.32 and 278.12 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.70 : 546.32 = 278.12 : x
  2. Step 2: Convert to fraction form
    364.70/546.32 = 278.12/x
  3. Step 3: Cross multiply
    364.70x = 546.32 × 278.12
  4. Step 4: Simplify right side
    364.70x = 151,942.52
  5. Step 5: Solve for x
    x = 151,942.52/364.70
  6. Step 6: Final answer
    x = 416.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.