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Finding the Fourth Proportional to 804.23, 1,206.39 and 256.77

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Solution

The fourth proportional to 804.23, 1,206.39 and 256.77 is: 385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.23 : 1,206.39 = 256.77 : x
  2. Step 2: Convert to fraction form
    804.23/1,206.39 = 256.77/x
  3. Step 3: Cross multiply
    804.23x = 1,206.39 × 256.77
  4. Step 4: Simplify right side
    804.23x = 309,765.72
  5. Step 5: Solve for x
    x = 309,765.72/804.23
  6. Step 6: Final answer
    x = 385.17

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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.