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Finding the Fourth Proportional to 605.77, 908.57 and 361.70

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Solution

The fourth proportional to 605.77, 908.57 and 361.70 is: 542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.77 : 908.57 = 361.70 : x
  2. Step 2: Convert to fraction form
    605.77/908.57 = 361.70/x
  3. Step 3: Cross multiply
    605.77x = 908.57 × 361.70
  4. Step 4: Simplify right side
    605.77x = 328,629.77
  5. Step 5: Solve for x
    x = 328,629.77/605.77
  6. Step 6: Final answer
    x = 542.50

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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.