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Finding the Fourth Proportional to 606.12, 909.34 and 259.47

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Solution

The fourth proportional to 606.12, 909.34 and 259.47 is: 389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.12 : 909.34 = 259.47 : x
  2. Step 2: Convert to fraction form
    606.12/909.34 = 259.47/x
  3. Step 3: Cross multiply
    606.12x = 909.34 × 259.47
  4. Step 4: Simplify right side
    606.12x = 235,946.45
  5. Step 5: Solve for x
    x = 235,946.45/606.12
  6. Step 6: Final answer
    x = 389.27

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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.