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Finding the Fourth Proportional to 606.34, 836.81 and 357.63

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Solution

The fourth proportional to 606.34, 836.81 and 357.63 is: 493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.34 : 836.81 = 357.63 : x
  2. Step 2: Convert to fraction form
    606.34/836.81 = 357.63/x
  3. Step 3: Cross multiply
    606.34x = 836.81 × 357.63
  4. Step 4: Simplify right side
    606.34x = 299,268.36
  5. Step 5: Solve for x
    x = 299,268.36/606.34
  6. Step 6: Final answer
    x = 493.57

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Why These Related Problems?

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