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Finding the Fourth Proportional to 584.49, 883.37 and 574.41

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Solution

The fourth proportional to 584.49, 883.37 and 574.41 is: 868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.49 : 883.37 = 574.41 : x
  2. Step 2: Convert to fraction form
    584.49/883.37 = 574.41/x
  3. Step 3: Cross multiply
    584.49x = 883.37 × 574.41
  4. Step 4: Simplify right side
    584.49x = 507,413.69
  5. Step 5: Solve for x
    x = 507,413.69/584.49
  6. Step 6: Final answer
    x = 868.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.