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Finding the Fourth Proportional to 460, 634.46 and 294.22

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Solution

The fourth proportional to 460, 634.46 and 294.22 is: 405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 634.46 = 294.22 : x
  2. Step 2: Convert to fraction form
    460/634.46 = 294.22/x
  3. Step 3: Cross multiply
    460x = 634.46 × 294.22
  4. Step 4: Simplify right side
    460x = 186,670.82
  5. Step 5: Solve for x
    x = 186,670.82/460
  6. Step 6: Final answer
    x = 405.81

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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.