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Finding the Fourth Proportional to 803.96, 1,206.12 and 256.20

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Solution

The fourth proportional to 803.96, 1,206.12 and 256.20 is: 384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.96 : 1,206.12 = 256.20 : x
  2. Step 2: Convert to fraction form
    803.96/1,206.12 = 256.20/x
  3. Step 3: Cross multiply
    803.96x = 1,206.12 × 256.20
  4. Step 4: Simplify right side
    803.96x = 309,004.38
  5. Step 5: Solve for x
    x = 309,004.38/803.96
  6. Step 6: Final answer
    x = 384.35

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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.