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Finding the Fourth Proportional to 465.80, 697.62 and 259.95

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Solution

The fourth proportional to 465.80, 697.62 and 259.95 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 697.62 = 259.95 : x
  2. Step 2: Convert to fraction form
    465.80/697.62 = 259.95/x
  3. Step 3: Cross multiply
    465.80x = 697.62 × 259.95
  4. Step 4: Simplify right side
    465.80x = 181,346.32
  5. Step 5: Solve for x
    x = 181,346.32/465.80
  6. Step 6: Final answer
    x = 389.33

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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.