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Finding the Fourth Proportional to 762.23, 1,142.45 and 323.35

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Solution

The fourth proportional to 762.23, 1,142.45 and 323.35 is: 484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.23 : 1,142.45 = 323.35 : x
  2. Step 2: Convert to fraction form
    762.23/1,142.45 = 323.35/x
  3. Step 3: Cross multiply
    762.23x = 1,142.45 × 323.35
  4. Step 4: Simplify right side
    762.23x = 369,413.16
  5. Step 5: Solve for x
    x = 369,413.16/762.23
  6. Step 6: Final answer
    x = 484.65

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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.