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Finding the Fourth Proportional to 941.99, 1,413.18 and 325.53

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Solution

The fourth proportional to 941.99, 1,413.18 and 325.53 is: 488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.99 : 1,413.18 = 325.53 : x
  2. Step 2: Convert to fraction form
    941.99/1,413.18 = 325.53/x
  3. Step 3: Cross multiply
    941.99x = 1,413.18 × 325.53
  4. Step 4: Simplify right side
    941.99x = 460,032.49
  5. Step 5: Solve for x
    x = 460,032.49/941.99
  6. Step 6: Final answer
    x = 488.36

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Why These Related Problems?

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