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Finding the Fourth Proportional to 628.64, 941.74 and 411.56

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Solution

The fourth proportional to 628.64, 941.74 and 411.56 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.64 : 941.74 = 411.56 : x
  2. Step 2: Convert to fraction form
    628.64/941.74 = 411.56/x
  3. Step 3: Cross multiply
    628.64x = 941.74 × 411.56
  4. Step 4: Simplify right side
    628.64x = 387,583.84
  5. Step 5: Solve for x
    x = 387,583.84/628.64
  6. Step 6: Final answer
    x = 616.54

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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.