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Finding the Fourth Proportional to 460.06, 634.94 and 349.34

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Solution

The fourth proportional to 460.06, 634.94 and 349.34 is: 482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.06 : 634.94 = 349.34 : x
  2. Step 2: Convert to fraction form
    460.06/634.94 = 349.34/x
  3. Step 3: Cross multiply
    460.06x = 634.94 × 349.34
  4. Step 4: Simplify right side
    460.06x = 221,808.19
  5. Step 5: Solve for x
    x = 221,808.19/460.06
  6. Step 6: Final answer
    x = 482.13

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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.