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Finding the Fourth Proportional to 628.21, 942.21 and 396.39

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Solution

The fourth proportional to 628.21, 942.21 and 396.39 is: 594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.21 : 942.21 = 396.39 : x
  2. Step 2: Convert to fraction form
    628.21/942.21 = 396.39/x
  3. Step 3: Cross multiply
    628.21x = 942.21 × 396.39
  4. Step 4: Simplify right side
    628.21x = 373,482.62
  5. Step 5: Solve for x
    x = 373,482.62/628.21
  6. Step 6: Final answer
    x = 594.52

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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.