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Finding the Fourth Proportional to 466.27, 698.04 and 368.09

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Solution

The fourth proportional to 466.27, 698.04 and 368.09 is: 551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.27 : 698.04 = 368.09 : x
  2. Step 2: Convert to fraction form
    466.27/698.04 = 368.09/x
  3. Step 3: Cross multiply
    466.27x = 698.04 × 368.09
  4. Step 4: Simplify right side
    466.27x = 256,938.05
  5. Step 5: Solve for x
    x = 256,938.05/466.27
  6. Step 6: Final answer
    x = 551.05

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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.