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Finding the Fourth Proportional to 942.59, 1,413.81 and 415.55

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Solution

The fourth proportional to 942.59, 1,413.81 and 415.55 is: 623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.59 : 1,413.81 = 415.55 : x
  2. Step 2: Convert to fraction form
    942.59/1,413.81 = 415.55/x
  3. Step 3: Cross multiply
    942.59x = 1,413.81 × 415.55
  4. Step 4: Simplify right side
    942.59x = 587,501.68
  5. Step 5: Solve for x
    x = 587,501.68/942.59
  6. Step 6: Final answer
    x = 623.29

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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.