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Finding the Fourth Proportional to 410.84, 615.73 and 193.94

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Solution

The fourth proportional to 410.84, 615.73 and 193.94 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.84 : 615.73 = 193.94 : x
  2. Step 2: Convert to fraction form
    410.84/615.73 = 193.94/x
  3. Step 3: Cross multiply
    410.84x = 615.73 × 193.94
  4. Step 4: Simplify right side
    410.84x = 119,414.68
  5. Step 5: Solve for x
    x = 119,414.68/410.84
  6. Step 6: Final answer
    x = 290.66

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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.