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Finding the Fourth Proportional to 496.77, 685.56 and 300.16

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Solution

The fourth proportional to 496.77, 685.56 and 300.16 is: 414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.77 : 685.56 = 300.16 : x
  2. Step 2: Convert to fraction form
    496.77/685.56 = 300.16/x
  3. Step 3: Cross multiply
    496.77x = 685.56 × 300.16
  4. Step 4: Simplify right side
    496.77x = 205,779.07
  5. Step 5: Solve for x
    x = 205,779.07/496.77
  6. Step 6: Final answer
    x = 414.24

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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.