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Finding the Fourth Proportional to 628.22, 942.37 and 593.60

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Solution

The fourth proportional to 628.22, 942.37 and 593.60 is: 890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.22 : 942.37 = 593.60 : x
  2. Step 2: Convert to fraction form
    628.22/942.37 = 593.60/x
  3. Step 3: Cross multiply
    628.22x = 942.37 × 593.60
  4. Step 4: Simplify right side
    628.22x = 559,384.64
  5. Step 5: Solve for x
    x = 559,384.64/628.22
  6. Step 6: Final answer
    x = 890.42

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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.