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Finding the Fourth Proportional to 942.65, 1,413.12 and 357.54

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Solution

The fourth proportional to 942.65, 1,413.12 and 357.54 is: 535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.65 : 1,413.12 = 357.54 : x
  2. Step 2: Convert to fraction form
    942.65/1,413.12 = 357.54/x
  3. Step 3: Cross multiply
    942.65x = 1,413.12 × 357.54
  4. Step 4: Simplify right side
    942.65x = 505,246.92
  5. Step 5: Solve for x
    x = 505,246.92/942.65
  6. Step 6: Final answer
    x = 535.99

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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.