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Finding the Fourth Proportional to 416.62, 625.06 and 295.12

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Solution

The fourth proportional to 416.62, 625.06 and 295.12 is: 442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.62 : 625.06 = 295.12 : x
  2. Step 2: Convert to fraction form
    416.62/625.06 = 295.12/x
  3. Step 3: Cross multiply
    416.62x = 625.06 × 295.12
  4. Step 4: Simplify right side
    416.62x = 184,467.71
  5. Step 5: Solve for x
    x = 184,467.71/416.62
  6. Step 6: Final answer
    x = 442.77

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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.