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Finding the Fourth Proportional to 410.30, 615.46 and 194.04

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Solution

The fourth proportional to 410.30, 615.46 and 194.04 is: 291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.30 : 615.46 = 194.04 : x
  2. Step 2: Convert to fraction form
    410.30/615.46 = 194.04/x
  3. Step 3: Cross multiply
    410.30x = 615.46 × 194.04
  4. Step 4: Simplify right side
    410.30x = 119,423.86
  5. Step 5: Solve for x
    x = 119,423.86/410.30
  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.