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Finding the Fourth Proportional to 606.69, 836.84 and 420.35

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Solution

The fourth proportional to 606.69, 836.84 and 420.35 is: 579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.69 : 836.84 = 420.35 : x
  2. Step 2: Convert to fraction form
    606.69/836.84 = 420.35/x
  3. Step 3: Cross multiply
    606.69x = 836.84 × 420.35
  4. Step 4: Simplify right side
    606.69x = 351,762.56
  5. Step 5: Solve for x
    x = 351,762.56/606.69
  6. Step 6: Final answer
    x = 579.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.