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Finding the Fourth Proportional to 464.26, 695.44 and 448.69

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Solution

The fourth proportional to 464.26, 695.44 and 448.69 is: 672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.26 : 695.44 = 448.69 : x
  2. Step 2: Convert to fraction form
    464.26/695.44 = 448.69/x
  3. Step 3: Cross multiply
    464.26x = 695.44 × 448.69
  4. Step 4: Simplify right side
    464.26x = 312,036.97
  5. Step 5: Solve for x
    x = 312,036.97/464.26
  6. Step 6: Final answer
    x = 672.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.