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Finding the Fourth Proportional to 466.16, 648.44 and 457.25

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Solution

The fourth proportional to 466.16, 648.44 and 457.25 is: 636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.16 : 648.44 = 457.25 : x
  2. Step 2: Convert to fraction form
    466.16/648.44 = 457.25/x
  3. Step 3: Cross multiply
    466.16x = 648.44 × 457.25
  4. Step 4: Simplify right side
    466.16x = 296,495.38
  5. Step 5: Solve for x
    x = 296,495.38/466.16
  6. Step 6: Final answer
    x = 636.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.