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Finding the Fourth Proportional to 416.61, 625.12 and 262.10

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Solution

The fourth proportional to 416.61, 625.12 and 262.10 is: 393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 625.12 = 262.10 : x
  2. Step 2: Convert to fraction form
    416.61/625.12 = 262.10/x
  3. Step 3: Cross multiply
    416.61x = 625.12 × 262.10
  4. Step 4: Simplify right side
    416.61x = 163,844.86
  5. Step 5: Solve for x
    x = 163,844.86/416.61
  6. Step 6: Final answer
    x = 393.28

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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.