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Finding the Fourth Proportional to 804.13, 1,206.20 and 256.24

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Solution

The fourth proportional to 804.13, 1,206.20 and 256.24 is: 384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.13 : 1,206.20 = 256.24 : x
  2. Step 2: Convert to fraction form
    804.13/1,206.20 = 256.24/x
  3. Step 3: Cross multiply
    804.13x = 1,206.20 × 256.24
  4. Step 4: Simplify right side
    804.13x = 309,076.69
  5. Step 5: Solve for x
    x = 309,076.69/804.13
  6. Step 6: Final answer
    x = 384.36

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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.