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Finding the Fourth Proportional to 466.13, 642.33 and 460.37

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Solution

The fourth proportional to 466.13, 642.33 and 460.37 is: 634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.13 : 642.33 = 460.37 : x
  2. Step 2: Convert to fraction form
    466.13/642.33 = 460.37/x
  3. Step 3: Cross multiply
    466.13x = 642.33 × 460.37
  4. Step 4: Simplify right side
    466.13x = 295,711.07
  5. Step 5: Solve for x
    x = 295,711.07/466.13
  6. Step 6: Final answer
    x = 634.39

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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.