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Finding the Fourth Proportional to 584.99, 876.23 and 276.38

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Solution

The fourth proportional to 584.99, 876.23 and 276.38 is: 413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.99 : 876.23 = 276.38 : x
  2. Step 2: Convert to fraction form
    584.99/876.23 = 276.38/x
  3. Step 3: Cross multiply
    584.99x = 876.23 × 276.38
  4. Step 4: Simplify right side
    584.99x = 242,175.33
  5. Step 5: Solve for x
    x = 242,175.33/584.99
  6. Step 6: Final answer
    x = 413.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.