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Finding the Fourth Proportional to 606.41, 836.48 and 381.98

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Solution

The fourth proportional to 606.41, 836.48 and 381.98 is: 526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.41 : 836.48 = 381.98 : x
  2. Step 2: Convert to fraction form
    606.41/836.48 = 381.98/x
  3. Step 3: Cross multiply
    606.41x = 836.48 × 381.98
  4. Step 4: Simplify right side
    606.41x = 319,518.63
  5. Step 5: Solve for x
    x = 319,518.63/606.41
  6. Step 6: Final answer
    x = 526.90

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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.