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Finding the Fourth Proportional to 930.75, 1,396.53 and 354.03

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Solution

The fourth proportional to 930.75, 1,396.53 and 354.03 is: 531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.75 : 1,396.53 = 354.03 : x
  2. Step 2: Convert to fraction form
    930.75/1,396.53 = 354.03/x
  3. Step 3: Cross multiply
    930.75x = 1,396.53 × 354.03
  4. Step 4: Simplify right side
    930.75x = 494,413.52
  5. Step 5: Solve for x
    x = 494,413.52/930.75
  6. Step 6: Final answer
    x = 531.20

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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.