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Finding the Fourth Proportional to 416.54, 625.01 and 294.23

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Solution

The fourth proportional to 416.54, 625.01 and 294.23 is: 441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 625.01 = 294.23 : x
  2. Step 2: Convert to fraction form
    416.54/625.01 = 294.23/x
  3. Step 3: Cross multiply
    416.54x = 625.01 × 294.23
  4. Step 4: Simplify right side
    416.54x = 183,892.10
  5. Step 5: Solve for x
    x = 183,892.10/416.54
  6. Step 6: Final answer
    x = 441.48

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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.