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Finding the Fourth Proportional to 410.49, 615.33 and 194.22

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Solution

The fourth proportional to 410.49, 615.33 and 194.22 is: 291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.49 : 615.33 = 194.22 : x
  2. Step 2: Convert to fraction form
    410.49/615.33 = 194.22/x
  3. Step 3: Cross multiply
    410.49x = 615.33 × 194.22
  4. Step 4: Simplify right side
    410.49x = 119,509.39
  5. Step 5: Solve for x
    x = 119,509.39/410.49
  6. Step 6: Final answer
    x = 291.14

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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.