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Finding the Fourth Proportional to 416.16, 622.62 and 364.32

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Solution

The fourth proportional to 416.16, 622.62 and 364.32 is: 545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 622.62 = 364.32 : x
  2. Step 2: Convert to fraction form
    416.16/622.62 = 364.32/x
  3. Step 3: Cross multiply
    416.16x = 622.62 × 364.32
  4. Step 4: Simplify right side
    416.16x = 226,832.92
  5. Step 5: Solve for x
    x = 226,832.92/416.16
  6. Step 6: Final answer
    x = 545.06

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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.