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Finding the Fourth Proportional to 606.19, 909.09 and 313.60

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Solution

The fourth proportional to 606.19, 909.09 and 313.60 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.19 : 909.09 = 313.60 : x
  2. Step 2: Convert to fraction form
    606.19/909.09 = 313.60/x
  3. Step 3: Cross multiply
    606.19x = 909.09 × 313.60
  4. Step 4: Simplify right side
    606.19x = 285,086.08
  5. Step 5: Solve for x
    x = 285,086.08/606.19
  6. Step 6: Final answer
    x = 470.30

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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.