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Finding the Fourth Proportional to 416.58, 625.26 and 211.32

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Solution

The fourth proportional to 416.58, 625.26 and 211.32 is: 317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.58 : 625.26 = 211.32 : x
  2. Step 2: Convert to fraction form
    416.58/625.26 = 211.32/x
  3. Step 3: Cross multiply
    416.58x = 625.26 × 211.32
  4. Step 4: Simplify right side
    416.58x = 132,129.94
  5. Step 5: Solve for x
    x = 132,129.94/416.58
  6. Step 6: Final answer
    x = 317.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.