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Finding the Fourth Proportional to 606.46, 836.76 and 410.50

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Solution

The fourth proportional to 606.46, 836.76 and 410.50 is: 566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.46 : 836.76 = 410.50 : x
  2. Step 2: Convert to fraction form
    606.46/836.76 = 410.50/x
  3. Step 3: Cross multiply
    606.46x = 836.76 × 410.50
  4. Step 4: Simplify right side
    606.46x = 343,489.98
  5. Step 5: Solve for x
    x = 343,489.98/606.46
  6. Step 6: Final answer
    x = 566.39

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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.