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Finding the Fourth Proportional to 471.86, 708.32 and 277.09

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Solution

The fourth proportional to 471.86, 708.32 and 277.09 is: 415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.86 : 708.32 = 277.09 : x
  2. Step 2: Convert to fraction form
    471.86/708.32 = 277.09/x
  3. Step 3: Cross multiply
    471.86x = 708.32 × 277.09
  4. Step 4: Simplify right side
    471.86x = 196,268.39
  5. Step 5: Solve for x
    x = 196,268.39/471.86
  6. Step 6: Final answer
    x = 415.95

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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.