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Finding the Fourth Proportional to 628.68, 942.30 and 385.32

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Solution

The fourth proportional to 628.68, 942.30 and 385.32 is: 577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.68 : 942.30 = 385.32 : x
  2. Step 2: Convert to fraction form
    628.68/942.30 = 385.32/x
  3. Step 3: Cross multiply
    628.68x = 942.30 × 385.32
  4. Step 4: Simplify right side
    628.68x = 363,087.04
  5. Step 5: Solve for x
    x = 363,087.04/628.68
  6. Step 6: Final answer
    x = 577.54

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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.