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Finding the Fourth Proportional to 685.25, 1,028.00 and 295.25

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Solution

The fourth proportional to 685.25, 1,028.00 and 295.25 is: 442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.25 : 1,028.00 = 295.25 : x
  2. Step 2: Convert to fraction form
    685.25/1,028.00 = 295.25/x
  3. Step 3: Cross multiply
    685.25x = 1,028.00 × 295.25
  4. Step 4: Simplify right side
    685.25x = 303,510.38
  5. Step 5: Solve for x
    x = 303,510.38/685.25
  6. Step 6: Final answer
    x = 442.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.