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Finding the Fourth Proportional to 420.09, 628.77 and 374.54

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Solution

The fourth proportional to 420.09, 628.77 and 374.54 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.09 : 628.77 = 374.54 : x
  2. Step 2: Convert to fraction form
    420.09/628.77 = 374.54/x
  3. Step 3: Cross multiply
    420.09x = 628.77 × 374.54
  4. Step 4: Simplify right side
    420.09x = 235,496.37
  5. Step 5: Solve for x
    x = 235,496.37/420.09
  6. Step 6: Final answer
    x = 560.59

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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.