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Finding the Fourth Proportional to 496.51, 685.52 and 310.28

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Solution

The fourth proportional to 496.51, 685.52 and 310.28 is: 428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.51 : 685.52 = 310.28 : x
  2. Step 2: Convert to fraction form
    496.51/685.52 = 310.28/x
  3. Step 3: Cross multiply
    496.51x = 685.52 × 310.28
  4. Step 4: Simplify right side
    496.51x = 212,703.15
  5. Step 5: Solve for x
    x = 212,703.15/496.51
  6. Step 6: Final answer
    x = 428.40

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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.