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Finding the Fourth Proportional to 416.01, 623.71 and 199.74

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Solution

The fourth proportional to 416.01, 623.71 and 199.74 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.01 : 623.71 = 199.74 : x
  2. Step 2: Convert to fraction form
    416.01/623.71 = 199.74/x
  3. Step 3: Cross multiply
    416.01x = 623.71 × 199.74
  4. Step 4: Simplify right side
    416.01x = 124,579.84
  5. Step 5: Solve for x
    x = 124,579.84/416.01
  6. Step 6: Final answer
    x = 299.46

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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.