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Finding the Fourth Proportional to 460.67, 634.43 and 419.66

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Solution

The fourth proportional to 460.67, 634.43 and 419.66 is: 577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.67 : 634.43 = 419.66 : x
  2. Step 2: Convert to fraction form
    460.67/634.43 = 419.66/x
  3. Step 3: Cross multiply
    460.67x = 634.43 × 419.66
  4. Step 4: Simplify right side
    460.67x = 266,239.62
  5. Step 5: Solve for x
    x = 266,239.62/460.67
  6. Step 6: Final answer
    x = 577.95

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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.