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Finding the Fourth Proportional to 410.28, 615.45 and 150.35

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Solution

The fourth proportional to 410.28, 615.45 and 150.35 is: 225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.28 : 615.45 = 150.35 : x
  2. Step 2: Convert to fraction form
    410.28/615.45 = 150.35/x
  3. Step 3: Cross multiply
    410.28x = 615.45 × 150.35
  4. Step 4: Simplify right side
    410.28x = 92,529.83
  5. Step 5: Solve for x
    x = 92,529.83/410.28
  6. Step 6: Final answer
    x = 225.53

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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.