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Finding the Fourth Proportional to 628.37, 940.72 and 466.77

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Solution

The fourth proportional to 628.37, 940.72 and 466.77 is: 698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.37 : 940.72 = 466.77 : x
  2. Step 2: Convert to fraction form
    628.37/940.72 = 466.77/x
  3. Step 3: Cross multiply
    628.37x = 940.72 × 466.77
  4. Step 4: Simplify right side
    628.37x = 439,099.87
  5. Step 5: Solve for x
    x = 439,099.87/628.37
  6. Step 6: Final answer
    x = 698.80

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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.