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Finding the Fourth Proportional to 804.24, 1,206.34 and 256.41

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Solution

The fourth proportional to 804.24, 1,206.34 and 256.41 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.24 : 1,206.34 = 256.41 : x
  2. Step 2: Convert to fraction form
    804.24/1,206.34 = 256.41/x
  3. Step 3: Cross multiply
    804.24x = 1,206.34 × 256.41
  4. Step 4: Simplify right side
    804.24x = 309,322.48
  5. Step 5: Solve for x
    x = 309,322.48/804.24
  6. Step 6: Final answer
    x = 384.61

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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.