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Finding the Fourth Proportional to 606.87, 909.84 and 314.06

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Solution

The fourth proportional to 606.87, 909.84 and 314.06 is: 470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.87 : 909.84 = 314.06 : x
  2. Step 2: Convert to fraction form
    606.87/909.84 = 314.06/x
  3. Step 3: Cross multiply
    606.87x = 909.84 × 314.06
  4. Step 4: Simplify right side
    606.87x = 285,739.80
  5. Step 5: Solve for x
    x = 285,739.80/606.87
  6. Step 6: Final answer
    x = 470.84

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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.