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Finding the Fourth Proportional to 461.34, 636.66 and 337.68

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Solution

The fourth proportional to 461.34, 636.66 and 337.68 is: 466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 636.66 = 337.68 : x
  2. Step 2: Convert to fraction form
    461.34/636.66 = 337.68/x
  3. Step 3: Cross multiply
    461.34x = 636.66 × 337.68
  4. Step 4: Simplify right side
    461.34x = 214,987.35
  5. Step 5: Solve for x
    x = 214,987.35/461.34
  6. Step 6: Final answer
    x = 466.01

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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.