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Finding the Fourth Proportional to 460.04, 634.93 and 349.33

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Solution

The fourth proportional to 460.04, 634.93 and 349.33 is: 482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.04 : 634.93 = 349.33 : x
  2. Step 2: Convert to fraction form
    460.04/634.93 = 349.33/x
  3. Step 3: Cross multiply
    460.04x = 634.93 × 349.33
  4. Step 4: Simplify right side
    460.04x = 221,800.10
  5. Step 5: Solve for x
    x = 221,800.10/460.04
  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.