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Finding the Fourth Proportional to 411.08, 566.70 and 263.60

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Solution

The fourth proportional to 411.08, 566.70 and 263.60 is: 363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.08 : 566.70 = 263.60 : x
  2. Step 2: Convert to fraction form
    411.08/566.70 = 263.60/x
  3. Step 3: Cross multiply
    411.08x = 566.70 × 263.60
  4. Step 4: Simplify right side
    411.08x = 149,382.12
  5. Step 5: Solve for x
    x = 149,382.12/411.08
  6. Step 6: Final answer
    x = 363.39

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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.