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Finding the Fourth Proportional to 606.41, 909.76 and 259.57

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Solution

The fourth proportional to 606.41, 909.76 and 259.57 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.41 : 909.76 = 259.57 : x
  2. Step 2: Convert to fraction form
    606.41/909.76 = 259.57/x
  3. Step 3: Cross multiply
    606.41x = 909.76 × 259.57
  4. Step 4: Simplify right side
    606.41x = 236,146.40
  5. Step 5: Solve for x
    x = 236,146.40/606.41
  6. Step 6: Final answer
    x = 389.42

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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.