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Finding the Fourth Proportional to 416.02, 624.06 and 199.44

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Solution

The fourth proportional to 416.02, 624.06 and 199.44 is: 299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.02 : 624.06 = 199.44 : x
  2. Step 2: Convert to fraction form
    416.02/624.06 = 199.44/x
  3. Step 3: Cross multiply
    416.02x = 624.06 × 199.44
  4. Step 4: Simplify right side
    416.02x = 124,462.53
  5. Step 5: Solve for x
    x = 124,462.53/416.02
  6. Step 6: Final answer
    x = 299.17

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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.