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Finding the Fourth Proportional to 628.38, 942.79 and 577.80

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Solution

The fourth proportional to 628.38, 942.79 and 577.80 is: 866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.38 : 942.79 = 577.80 : x
  2. Step 2: Convert to fraction form
    628.38/942.79 = 577.80/x
  3. Step 3: Cross multiply
    628.38x = 942.79 × 577.80
  4. Step 4: Simplify right side
    628.38x = 544,747.86
  5. Step 5: Solve for x
    x = 544,747.86/628.38
  6. Step 6: Final answer
    x = 866.92

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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.