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Finding the Fourth Proportional to 804.02, 1,205.91 and 256.20

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Solution

The fourth proportional to 804.02, 1,205.91 and 256.20 is: 384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.02 : 1,205.91 = 256.20 : x
  2. Step 2: Convert to fraction form
    804.02/1,205.91 = 256.20/x
  3. Step 3: Cross multiply
    804.02x = 1,205.91 × 256.20
  4. Step 4: Simplify right side
    804.02x = 308,954.14
  5. Step 5: Solve for x
    x = 308,954.14/804.02
  6. Step 6: Final answer
    x = 384.26

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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.