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Finding the Fourth Proportional to 623.03, 933.78 and 275.97

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Solution

The fourth proportional to 623.03, 933.78 and 275.97 is: 413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.03 : 933.78 = 275.97 : x
  2. Step 2: Convert to fraction form
    623.03/933.78 = 275.97/x
  3. Step 3: Cross multiply
    623.03x = 933.78 × 275.97
  4. Step 4: Simplify right side
    623.03x = 257,695.27
  5. Step 5: Solve for x
    x = 257,695.27/623.03
  6. Step 6: Final answer
    x = 413.62

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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.