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Finding the Fourth Proportional to 464.42, 636.83 and 448.89

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Solution

The fourth proportional to 464.42, 636.83 and 448.89 is: 615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.42 : 636.83 = 448.89 : x
  2. Step 2: Convert to fraction form
    464.42/636.83 = 448.89/x
  3. Step 3: Cross multiply
    464.42x = 636.83 × 448.89
  4. Step 4: Simplify right side
    464.42x = 285,866.62
  5. Step 5: Solve for x
    x = 285,866.62/464.42
  6. Step 6: Final answer
    x = 615.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.