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Finding the Fourth Proportional to 606.28, 909.68 and 313.88

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Solution

The fourth proportional to 606.28, 909.68 and 313.88 is: 470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.28 : 909.68 = 313.88 : x
  2. Step 2: Convert to fraction form
    606.28/909.68 = 313.88/x
  3. Step 3: Cross multiply
    606.28x = 909.68 × 313.88
  4. Step 4: Simplify right side
    606.28x = 285,530.36
  5. Step 5: Solve for x
    x = 285,530.36/606.28
  6. Step 6: Final answer
    x = 470.95

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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.