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Finding the Fourth Proportional to 629.16, 941.97 and 474.60

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Solution

The fourth proportional to 629.16, 941.97 and 474.60 is: 710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.16 : 941.97 = 474.60 : x
  2. Step 2: Convert to fraction form
    629.16/941.97 = 474.60/x
  3. Step 3: Cross multiply
    629.16x = 941.97 × 474.60
  4. Step 4: Simplify right side
    629.16x = 447,058.96
  5. Step 5: Solve for x
    x = 447,058.96/629.16
  6. Step 6: Final answer
    x = 710.56

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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.