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Finding the Fourth Proportional to 606.36, 909.54 and 259.41

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Solution

The fourth proportional to 606.36, 909.54 and 259.41 is: 389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.36 : 909.54 = 259.41 : x
  2. Step 2: Convert to fraction form
    606.36/909.54 = 259.41/x
  3. Step 3: Cross multiply
    606.36x = 909.54 × 259.41
  4. Step 4: Simplify right side
    606.36x = 235,943.77
  5. Step 5: Solve for x
    x = 235,943.77/606.36
  6. Step 6: Final answer
    x = 389.12

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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.