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Finding the Fourth Proportional to 334.64, 461.96 and 210.48

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Solution

The fourth proportional to 334.64, 461.96 and 210.48 is: 290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.64 : 461.96 = 210.48 : x
  2. Step 2: Convert to fraction form
    334.64/461.96 = 210.48/x
  3. Step 3: Cross multiply
    334.64x = 461.96 × 210.48
  4. Step 4: Simplify right side
    334.64x = 97,233.34
  5. Step 5: Solve for x
    x = 97,233.34/334.64
  6. Step 6: Final answer
    x = 290.56

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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.