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Finding the Fourth Proportional to 628.32, 942.54 and 281.46

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Solution

The fourth proportional to 628.32, 942.54 and 281.46 is: 422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.32 : 942.54 = 281.46 : x
  2. Step 2: Convert to fraction form
    628.32/942.54 = 281.46/x
  3. Step 3: Cross multiply
    628.32x = 942.54 × 281.46
  4. Step 4: Simplify right side
    628.32x = 265,287.31
  5. Step 5: Solve for x
    x = 265,287.31/628.32
  6. Step 6: Final answer
    x = 422.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.