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Finding the Fourth Proportional to 804.31, 1,206.57 and 256.54

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Solution

The fourth proportional to 804.31, 1,206.57 and 256.54 is: 384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.31 : 1,206.57 = 256.54 : x
  2. Step 2: Convert to fraction form
    804.31/1,206.57 = 256.54/x
  3. Step 3: Cross multiply
    804.31x = 1,206.57 × 256.54
  4. Step 4: Simplify right side
    804.31x = 309,533.47
  5. Step 5: Solve for x
    x = 309,533.47/804.31
  6. Step 6: Final answer
    x = 384.84

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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.