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Finding the Fourth Proportional to 605.46, 835.38 and 409.50

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Solution

The fourth proportional to 605.46, 835.38 and 409.50 is: 565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.46 : 835.38 = 409.50 : x
  2. Step 2: Convert to fraction form
    605.46/835.38 = 409.50/x
  3. Step 3: Cross multiply
    605.46x = 835.38 × 409.50
  4. Step 4: Simplify right side
    605.46x = 342,088.11
  5. Step 5: Solve for x
    x = 342,088.11/605.46
  6. Step 6: Final answer
    x = 565.01

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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.