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Finding the Fourth Proportional to 455.48, 628.62 and 416.60

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Solution

The fourth proportional to 455.48, 628.62 and 416.60 is: 574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.48 : 628.62 = 416.60 : x
  2. Step 2: Convert to fraction form
    455.48/628.62 = 416.60/x
  3. Step 3: Cross multiply
    455.48x = 628.62 × 416.60
  4. Step 4: Simplify right side
    455.48x = 261,883.09
  5. Step 5: Solve for x
    x = 261,883.09/455.48
  6. Step 6: Final answer
    x = 574.96

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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.