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Finding the Fourth Proportional to 628.94, 943.42 and 258.74

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Solution

The fourth proportional to 628.94, 943.42 and 258.74 is: 388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.94 : 943.42 = 258.74 : x
  2. Step 2: Convert to fraction form
    628.94/943.42 = 258.74/x
  3. Step 3: Cross multiply
    628.94x = 943.42 × 258.74
  4. Step 4: Simplify right side
    628.94x = 244,100.49
  5. Step 5: Solve for x
    x = 244,100.49/628.94
  6. Step 6: Final answer
    x = 388.11

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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.