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Finding the Fourth Proportional to 465.85, 698.83 and 259.98

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Solution

The fourth proportional to 465.85, 698.83 and 259.98 is: 389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.85 : 698.83 = 259.98 : x
  2. Step 2: Convert to fraction form
    465.85/698.83 = 259.98/x
  3. Step 3: Cross multiply
    465.85x = 698.83 × 259.98
  4. Step 4: Simplify right side
    465.85x = 181,678.55
  5. Step 5: Solve for x
    x = 181,678.55/465.85
  6. Step 6: Final answer
    x = 389.99

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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.