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Finding the Fourth Proportional to 416.70, 625.32 and 314.22

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Solution

The fourth proportional to 416.70, 625.32 and 314.22 is: 471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.70 : 625.32 = 314.22 : x
  2. Step 2: Convert to fraction form
    416.70/625.32 = 314.22/x
  3. Step 3: Cross multiply
    416.70x = 625.32 × 314.22
  4. Step 4: Simplify right side
    416.70x = 196,488.05
  5. Step 5: Solve for x
    x = 196,488.05/416.70
  6. Step 6: Final answer
    x = 471.53

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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.