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Finding the Fourth Proportional to 334.40, 461.33 and 210

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Solution

The fourth proportional to 334.40, 461.33 and 210 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.40 : 461.33 = 210 : x
  2. Step 2: Convert to fraction form
    334.40/461.33 = 210/x
  3. Step 3: Cross multiply
    334.40x = 461.33 × 210
  4. Step 4: Simplify right side
    334.40x = 96,878.25
  5. Step 5: Solve for x
    x = 96,878.25/334.40
  6. Step 6: Final answer
    x = 289.71

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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.