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Finding the Fourth Proportional to 416.73, 626.52 and 336.14

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Solution

The fourth proportional to 416.73, 626.52 and 336.14 is: 505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 626.52 = 336.14 : x
  2. Step 2: Convert to fraction form
    416.73/626.52 = 336.14/x
  3. Step 3: Cross multiply
    416.73x = 626.52 × 336.14
  4. Step 4: Simplify right side
    416.73x = 210,598.43
  5. Step 5: Solve for x
    x = 210,598.43/416.73
  6. Step 6: Final answer
    x = 505.36

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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.