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Finding the Fourth Proportional to 626.94, 940.68 and 382.86

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Solution

The fourth proportional to 626.94, 940.68 and 382.86 is: 574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.94 : 940.68 = 382.86 : x
  2. Step 2: Convert to fraction form
    626.94/940.68 = 382.86/x
  3. Step 3: Cross multiply
    626.94x = 940.68 × 382.86
  4. Step 4: Simplify right side
    626.94x = 360,148.74
  5. Step 5: Solve for x
    x = 360,148.74/626.94
  6. Step 6: Final answer
    x = 574.45

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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.