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Finding the Fourth Proportional to 475.92, 654.09 and 420.30

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Solution

The fourth proportional to 475.92, 654.09 and 420.30 is: 577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 654.09 = 420.30 : x
  2. Step 2: Convert to fraction form
    475.92/654.09 = 420.30/x
  3. Step 3: Cross multiply
    475.92x = 654.09 × 420.30
  4. Step 4: Simplify right side
    475.92x = 274,914.03
  5. Step 5: Solve for x
    x = 274,914.03/475.92
  6. Step 6: Final answer
    x = 577.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.