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Finding the Fourth Proportional to 410.21, 615.63 and 193.94

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Solution

The fourth proportional to 410.21, 615.63 and 193.94 is: 291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.21 : 615.63 = 193.94 : x
  2. Step 2: Convert to fraction form
    410.21/615.63 = 193.94/x
  3. Step 3: Cross multiply
    410.21x = 615.63 × 193.94
  4. Step 4: Simplify right side
    410.21x = 119,398.70
  5. Step 5: Solve for x
    x = 119,398.70/410.21
  6. Step 6: Final answer
    x = 291.06

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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.