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Finding the Fourth Proportional to 455.17, 628.21 and 256.08

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Solution

The fourth proportional to 455.17, 628.21 and 256.08 is: 353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.17 : 628.21 = 256.08 : x
  2. Step 2: Convert to fraction form
    455.17/628.21 = 256.08/x
  3. Step 3: Cross multiply
    455.17x = 628.21 × 256.08
  4. Step 4: Simplify right side
    455.17x = 160,873.73
  5. Step 5: Solve for x
    x = 160,873.73/455.17
  6. Step 6: Final answer
    x = 353.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.