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Finding the Fourth Proportional to 334.72, 461.73 and 210.41

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Solution

The fourth proportional to 334.72, 461.73 and 210.41 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.72 : 461.73 = 210.41 : x
  2. Step 2: Convert to fraction form
    334.72/461.73 = 210.41/x
  3. Step 3: Cross multiply
    334.72x = 461.73 × 210.41
  4. Step 4: Simplify right side
    334.72x = 97,152.82
  5. Step 5: Solve for x
    x = 97,152.82/334.72
  6. Step 6: Final answer
    x = 290.25

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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.