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Finding the Fourth Proportional to 629.13, 941.93 and 474.57

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Solution

The fourth proportional to 629.13, 941.93 and 474.57 is: 710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.13 : 941.93 = 474.57 : x
  2. Step 2: Convert to fraction form
    629.13/941.93 = 474.57/x
  3. Step 3: Cross multiply
    629.13x = 941.93 × 474.57
  4. Step 4: Simplify right side
    629.13x = 447,011.72
  5. Step 5: Solve for x
    x = 447,011.72/629.13
  6. Step 6: Final answer
    x = 710.53

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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.