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Finding the Fourth Proportional to 410.41, 615.91 and 194.14

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Solution

The fourth proportional to 410.41, 615.91 and 194.14 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.41 : 615.91 = 194.14 : x
  2. Step 2: Convert to fraction form
    410.41/615.91 = 194.14/x
  3. Step 3: Cross multiply
    410.41x = 615.91 × 194.14
  4. Step 4: Simplify right side
    410.41x = 119,570.74
  5. Step 5: Solve for x
    x = 119,570.74/410.41
  6. Step 6: Final answer
    x = 291.35

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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.