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Finding the Fourth Proportional to 455.24, 628.60 and 408.54

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Solution

The fourth proportional to 455.24, 628.60 and 408.54 is: 564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.24 : 628.60 = 408.54 : x
  2. Step 2: Convert to fraction form
    455.24/628.60 = 408.54/x
  3. Step 3: Cross multiply
    455.24x = 628.60 × 408.54
  4. Step 4: Simplify right side
    455.24x = 256,808.24
  5. Step 5: Solve for x
    x = 256,808.24/455.24
  6. Step 6: Final answer
    x = 564.12

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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.