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Finding the Fourth Proportional to 466.88, 641.91 and 416.63

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Solution

The fourth proportional to 466.88, 641.91 and 416.63 is: 572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.88 : 641.91 = 416.63 : x
  2. Step 2: Convert to fraction form
    466.88/641.91 = 416.63/x
  3. Step 3: Cross multiply
    466.88x = 641.91 × 416.63
  4. Step 4: Simplify right side
    466.88x = 267,435.75
  5. Step 5: Solve for x
    x = 267,435.75/466.88
  6. Step 6: Final answer
    x = 572.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.