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Finding the Fourth Proportional to 606.20, 909.58 and 259.63

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Solution

The fourth proportional to 606.20, 909.58 and 259.63 is: 389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.20 : 909.58 = 259.63 : x
  2. Step 2: Convert to fraction form
    606.20/909.58 = 259.63/x
  3. Step 3: Cross multiply
    606.20x = 909.58 × 259.63
  4. Step 4: Simplify right side
    606.20x = 236,151.33
  5. Step 5: Solve for x
    x = 236,151.33/606.20
  6. Step 6: Final answer
    x = 389.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.