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Finding the Fourth Proportional to 410.43, 615.29 and 205.10

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Solution

The fourth proportional to 410.43, 615.29 and 205.10 is: 307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.43 : 615.29 = 205.10 : x
  2. Step 2: Convert to fraction form
    410.43/615.29 = 205.10/x
  3. Step 3: Cross multiply
    410.43x = 615.29 × 205.10
  4. Step 4: Simplify right side
    410.43x = 126,191.88
  5. Step 5: Solve for x
    x = 126,191.88/410.43
  6. Step 6: Final answer
    x = 307.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.