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Finding the Fourth Proportional to 486.77, 671.56 and 311.81

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Solution

The fourth proportional to 486.77, 671.56 and 311.81 is: 430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.77 : 671.56 = 311.81 : x
  2. Step 2: Convert to fraction form
    486.77/671.56 = 311.81/x
  3. Step 3: Cross multiply
    486.77x = 671.56 × 311.81
  4. Step 4: Simplify right side
    486.77x = 209,394.99
  5. Step 5: Solve for x
    x = 209,394.99/486.77
  6. Step 6: Final answer
    x = 430.18

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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.