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Finding the Fourth Proportional to 357, 490.41 and 313.26

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Solution

The fourth proportional to 357, 490.41 and 313.26 is: 430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357 : 490.41 = 313.26 : x
  2. Step 2: Convert to fraction form
    357/490.41 = 313.26/x
  3. Step 3: Cross multiply
    357x = 490.41 × 313.26
  4. Step 4: Simplify right side
    357x = 153,625.84
  5. Step 5: Solve for x
    x = 153,625.84/357
  6. Step 6: Final answer
    x = 430.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.