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Finding the Fourth Proportional to 421.83, 636.53 and 404.97

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Solution

The fourth proportional to 421.83, 636.53 and 404.97 is: 611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.83 : 636.53 = 404.97 : x
  2. Step 2: Convert to fraction form
    421.83/636.53 = 404.97/x
  3. Step 3: Cross multiply
    421.83x = 636.53 × 404.97
  4. Step 4: Simplify right side
    421.83x = 257,773.53
  5. Step 5: Solve for x
    x = 257,773.53/421.83
  6. Step 6: Final answer
    x = 611.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.