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Finding the Fourth Proportional to 628.83, 942.48 and 282.15

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Solution

The fourth proportional to 628.83, 942.48 and 282.15 is: 422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.83 : 942.48 = 282.15 : x
  2. Step 2: Convert to fraction form
    628.83/942.48 = 282.15/x
  3. Step 3: Cross multiply
    628.83x = 942.48 × 282.15
  4. Step 4: Simplify right side
    628.83x = 265,920.73
  5. Step 5: Solve for x
    x = 265,920.73/628.83
  6. Step 6: Final answer
    x = 422.88

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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.