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Finding the Fourth Proportional to 490.99, 677.49 and 313.66

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Solution

The fourth proportional to 490.99, 677.49 and 313.66 is: 432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.99 : 677.49 = 313.66 : x
  2. Step 2: Convert to fraction form
    490.99/677.49 = 313.66/x
  3. Step 3: Cross multiply
    490.99x = 677.49 × 313.66
  4. Step 4: Simplify right side
    490.99x = 212,501.51
  5. Step 5: Solve for x
    x = 212,501.51/490.99
  6. Step 6: Final answer
    x = 432.80

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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.