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Finding the Fourth Proportional to 467.25, 702.41 and 433.44

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Solution

The fourth proportional to 467.25, 702.41 and 433.44 is: 651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.25 : 702.41 = 433.44 : x
  2. Step 2: Convert to fraction form
    467.25/702.41 = 433.44/x
  3. Step 3: Cross multiply
    467.25x = 702.41 × 433.44
  4. Step 4: Simplify right side
    467.25x = 304,450.42
  5. Step 5: Solve for x
    x = 304,450.42/467.25
  6. Step 6: Final answer
    x = 651.58

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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.