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Finding the Fourth Proportional to 606.62, 909.94 and 259.58

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Solution

The fourth proportional to 606.62, 909.94 and 259.58 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.62 : 909.94 = 259.58 : x
  2. Step 2: Convert to fraction form
    606.62/909.94 = 259.58/x
  3. Step 3: Cross multiply
    606.62x = 909.94 × 259.58
  4. Step 4: Simplify right side
    606.62x = 236,202.23
  5. Step 5: Solve for x
    x = 236,202.23/606.62
  6. Step 6: Final answer
    x = 389.37

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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.