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Finding the Fourth Proportional to 606.66, 909.92 and 314.00

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Solution

The fourth proportional to 606.66, 909.92 and 314.00 is: 470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.66 : 909.92 = 314.00 : x
  2. Step 2: Convert to fraction form
    606.66/909.92 = 314.00/x
  3. Step 3: Cross multiply
    606.66x = 909.92 × 314.00
  4. Step 4: Simplify right side
    606.66x = 285,716.65
  5. Step 5: Solve for x
    x = 285,716.65/606.66
  6. Step 6: Final answer
    x = 470.96

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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.