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Finding the Fourth Proportional to 817.36, 1,225.23 and 378.47

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Solution

The fourth proportional to 817.36, 1,225.23 and 378.47 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.36 : 1,225.23 = 378.47 : x
  2. Step 2: Convert to fraction form
    817.36/1,225.23 = 378.47/x
  3. Step 3: Cross multiply
    817.36x = 1,225.23 × 378.47
  4. Step 4: Simplify right side
    817.36x = 463,714.44
  5. Step 5: Solve for x
    x = 463,714.44/817.36
  6. Step 6: Final answer
    x = 567.33

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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.