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Finding the Fourth Proportional to 455.24, 628.25 and 256.10

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Solution

The fourth proportional to 455.24, 628.25 and 256.10 is: 353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.24 : 628.25 = 256.10 : x
  2. Step 2: Convert to fraction form
    455.24/628.25 = 256.10/x
  3. Step 3: Cross multiply
    455.24x = 628.25 × 256.10
  4. Step 4: Simplify right side
    455.24x = 160,893.54
  5. Step 5: Solve for x
    x = 160,893.54/455.24
  6. Step 6: Final answer
    x = 353.43

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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.