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Finding the Fourth Proportional to 605.61, 836.15 and 409.05

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Solution

The fourth proportional to 605.61, 836.15 and 409.05 is: 564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.61 : 836.15 = 409.05 : x
  2. Step 2: Convert to fraction form
    605.61/836.15 = 409.05/x
  3. Step 3: Cross multiply
    605.61x = 836.15 × 409.05
  4. Step 4: Simplify right side
    605.61x = 342,025.11
  5. Step 5: Solve for x
    x = 342,025.11/605.61
  6. Step 6: Final answer
    x = 564.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.