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Finding the Fourth Proportional to 941.90, 1,413.15 and 292.82

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Solution

The fourth proportional to 941.90, 1,413.15 and 292.82 is: 439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.90 : 1,413.15 = 292.82 : x
  2. Step 2: Convert to fraction form
    941.90/1,413.15 = 292.82/x
  3. Step 3: Cross multiply
    941.90x = 1,413.15 × 292.82
  4. Step 4: Simplify right side
    941.90x = 413,798.58
  5. Step 5: Solve for x
    x = 413,798.58/941.90
  6. Step 6: Final answer
    x = 439.32

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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.