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Finding the Fourth Proportional to 308.40, 461.51 and 290.85

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Solution

The fourth proportional to 308.40, 461.51 and 290.85 is: 435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.40 : 461.51 = 290.85 : x
  2. Step 2: Convert to fraction form
    308.40/461.51 = 290.85/x
  3. Step 3: Cross multiply
    308.40x = 461.51 × 290.85
  4. Step 4: Simplify right side
    308.40x = 134,229.88
  5. Step 5: Solve for x
    x = 134,229.88/308.40
  6. Step 6: Final answer
    x = 435.25

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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.