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Finding the Fourth Proportional to 478.05, 659.44 and 303.09

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Solution

The fourth proportional to 478.05, 659.44 and 303.09 is: 418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.05 : 659.44 = 303.09 : x
  2. Step 2: Convert to fraction form
    478.05/659.44 = 303.09/x
  3. Step 3: Cross multiply
    478.05x = 659.44 × 303.09
  4. Step 4: Simplify right side
    478.05x = 199,869.67
  5. Step 5: Solve for x
    x = 199,869.67/478.05
  6. Step 6: Final answer
    x = 418.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.