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Finding the Fourth Proportional to 606.99, 911.70 and 470.34

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Solution

The fourth proportional to 606.99, 911.70 and 470.34 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.99 : 911.70 = 470.34 : x
  2. Step 2: Convert to fraction form
    606.99/911.70 = 470.34/x
  3. Step 3: Cross multiply
    606.99x = 911.70 × 470.34
  4. Step 4: Simplify right side
    606.99x = 428,808.98
  5. Step 5: Solve for x
    x = 428,808.98/606.99
  6. Step 6: Final answer
    x = 706.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.