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Finding the Fourth Proportional to 605.93, 908.94 and 364.01

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Solution

The fourth proportional to 605.93, 908.94 and 364.01 is: 546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.93 : 908.94 = 364.01 : x
  2. Step 2: Convert to fraction form
    605.93/908.94 = 364.01/x
  3. Step 3: Cross multiply
    605.93x = 908.94 × 364.01
  4. Step 4: Simplify right side
    605.93x = 330,863.25
  5. Step 5: Solve for x
    x = 330,863.25/605.93
  6. Step 6: Final answer
    x = 546.04

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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.