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Finding the Fourth Proportional to 584.61, 878.26 and 365.91

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Solution

The fourth proportional to 584.61, 878.26 and 365.91 is: 549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.61 : 878.26 = 365.91 : x
  2. Step 2: Convert to fraction form
    584.61/878.26 = 365.91/x
  3. Step 3: Cross multiply
    584.61x = 878.26 × 365.91
  4. Step 4: Simplify right side
    584.61x = 321,364.12
  5. Step 5: Solve for x
    x = 321,364.12/584.61
  6. Step 6: Final answer
    x = 549.71

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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.