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Finding the Fourth Proportional to 628.61, 942.94 and 238.58

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Solution

The fourth proportional to 628.61, 942.94 and 238.58 is: 357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.61 : 942.94 = 238.58 : x
  2. Step 2: Convert to fraction form
    628.61/942.94 = 238.58/x
  3. Step 3: Cross multiply
    628.61x = 942.94 × 238.58
  4. Step 4: Simplify right side
    628.61x = 224,961.31
  5. Step 5: Solve for x
    x = 224,961.31/628.61
  6. Step 6: Final answer
    x = 357.87

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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.