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Finding the Fourth Proportional to 628.15, 941.45 and 455.41

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Solution

The fourth proportional to 628.15, 941.45 and 455.41 is: 682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.15 : 941.45 = 455.41 : x
  2. Step 2: Convert to fraction form
    628.15/941.45 = 455.41/x
  3. Step 3: Cross multiply
    628.15x = 941.45 × 455.41
  4. Step 4: Simplify right side
    628.15x = 428,745.74
  5. Step 5: Solve for x
    x = 428,745.74/628.15
  6. Step 6: Final answer
    x = 682.55

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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.