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Finding the Fourth Proportional to 804.25, 1,206.36 and 256.48

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Solution

The fourth proportional to 804.25, 1,206.36 and 256.48 is: 384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.25 : 1,206.36 = 256.48 : x
  2. Step 2: Convert to fraction form
    804.25/1,206.36 = 256.48/x
  3. Step 3: Cross multiply
    804.25x = 1,206.36 × 256.48
  4. Step 4: Simplify right side
    804.25x = 309,401.18
  5. Step 5: Solve for x
    x = 309,401.18/804.25
  6. Step 6: Final answer
    x = 384.71

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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.