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Finding the Fourth Proportional to 490.51, 677.10 and 313.57

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Solution

The fourth proportional to 490.51, 677.10 and 313.57 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.51 : 677.10 = 313.57 : x
  2. Step 2: Convert to fraction form
    490.51/677.10 = 313.57/x
  3. Step 3: Cross multiply
    490.51x = 677.10 × 313.57
  4. Step 4: Simplify right side
    490.51x = 212,318.25
  5. Step 5: Solve for x
    x = 212,318.25/490.51
  6. Step 6: Final answer
    x = 432.85

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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.