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Finding the Fourth Proportional to 460.73, 690.22 and 368.37

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Solution

The fourth proportional to 460.73, 690.22 and 368.37 is: 551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.73 : 690.22 = 368.37 : x
  2. Step 2: Convert to fraction form
    460.73/690.22 = 368.37/x
  3. Step 3: Cross multiply
    460.73x = 690.22 × 368.37
  4. Step 4: Simplify right side
    460.73x = 254,256.80
  5. Step 5: Solve for x
    x = 254,256.80/460.73
  6. Step 6: Final answer
    x = 551.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.