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Finding the Fourth Proportional to 467.86, 702.39 and 448.33

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Solution

The fourth proportional to 467.86, 702.39 and 448.33 is: 673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.86 : 702.39 = 448.33 : x
  2. Step 2: Convert to fraction form
    467.86/702.39 = 448.33/x
  3. Step 3: Cross multiply
    467.86x = 702.39 × 448.33
  4. Step 4: Simplify right side
    467.86x = 314,902.51
  5. Step 5: Solve for x
    x = 314,902.51/467.86
  6. Step 6: Final answer
    x = 673.07

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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.