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Finding the Fourth Proportional to 606.28, 909.38 and 313.69

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Solution

The fourth proportional to 606.28, 909.38 and 313.69 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.28 : 909.38 = 313.69 : x
  2. Step 2: Convert to fraction form
    606.28/909.38 = 313.69/x
  3. Step 3: Cross multiply
    606.28x = 909.38 × 313.69
  4. Step 4: Simplify right side
    606.28x = 285,259.57
  5. Step 5: Solve for x
    x = 285,259.57/606.28
  6. Step 6: Final answer
    x = 470.51

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1.5x scale

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.