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Finding the Fourth Proportional to 584.37, 876.67 and 259.74

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Solution

The fourth proportional to 584.37, 876.67 and 259.74 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.37 : 876.67 = 259.74 : x
  2. Step 2: Convert to fraction form
    584.37/876.67 = 259.74/x
  3. Step 3: Cross multiply
    584.37x = 876.67 × 259.74
  4. Step 4: Simplify right side
    584.37x = 227,705.62
  5. Step 5: Solve for x
    x = 227,705.62/584.37
  6. Step 6: Final answer
    x = 389.66

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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.