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Finding the Fourth Proportional to 942.91, 1,413.55 and 365.38

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Solution

The fourth proportional to 942.91, 1,413.55 and 365.38 is: 547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.91 : 1,413.55 = 365.38 : x
  2. Step 2: Convert to fraction form
    942.91/1,413.55 = 365.38/x
  3. Step 3: Cross multiply
    942.91x = 1,413.55 × 365.38
  4. Step 4: Simplify right side
    942.91x = 516,482.90
  5. Step 5: Solve for x
    x = 516,482.90/942.91
  6. Step 6: Final answer
    x = 547.75

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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.