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Finding the Fourth Proportional to 804.20, 1,206.29 and 256.38

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Solution

The fourth proportional to 804.20, 1,206.29 and 256.38 is: 384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.20 : 1,206.29 = 256.38 : x
  2. Step 2: Convert to fraction form
    804.20/1,206.29 = 256.38/x
  3. Step 3: Cross multiply
    804.20x = 1,206.29 × 256.38
  4. Step 4: Simplify right side
    804.20x = 309,263.79
  5. Step 5: Solve for x
    x = 309,263.79/804.20
  6. Step 6: Final answer
    x = 384.56

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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.