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Finding the Fourth Proportional to 584.93, 878.56 and 365.94

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Solution

The fourth proportional to 584.93, 878.56 and 365.94 is: 549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.93 : 878.56 = 365.94 : x
  2. Step 2: Convert to fraction form
    584.93/878.56 = 365.94/x
  3. Step 3: Cross multiply
    584.93x = 878.56 × 365.94
  4. Step 4: Simplify right side
    584.93x = 321,504.99
  5. Step 5: Solve for x
    x = 321,504.99/584.93
  6. Step 6: Final answer
    x = 549.65

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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.