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Finding the Fourth Proportional to 607.94, 911.43 and 364.62

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Solution

The fourth proportional to 607.94, 911.43 and 364.62 is: 546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.94 : 911.43 = 364.62 : x
  2. Step 2: Convert to fraction form
    607.94/911.43 = 364.62/x
  3. Step 3: Cross multiply
    607.94x = 911.43 × 364.62
  4. Step 4: Simplify right side
    607.94x = 332,325.61
  5. Step 5: Solve for x
    x = 332,325.61/607.94
  6. Step 6: Final answer
    x = 546.65

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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.