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Finding the Fourth Proportional to 418.26, 577.73 and 320.76

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Solution

The fourth proportional to 418.26, 577.73 and 320.76 is: 443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.26 : 577.73 = 320.76 : x
  2. Step 2: Convert to fraction form
    418.26/577.73 = 320.76/x
  3. Step 3: Cross multiply
    418.26x = 577.73 × 320.76
  4. Step 4: Simplify right side
    418.26x = 185,313.48
  5. Step 5: Solve for x
    x = 185,313.48/418.26
  6. Step 6: Final answer
    x = 443.05

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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.