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Finding the Fourth Proportional to 410.45, 615.15 and 358.97

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Solution

The fourth proportional to 410.45, 615.15 and 358.97 is: 537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.45 : 615.15 = 358.97 : x
  2. Step 2: Convert to fraction form
    410.45/615.15 = 358.97/x
  3. Step 3: Cross multiply
    410.45x = 615.15 × 358.97
  4. Step 4: Simplify right side
    410.45x = 220,817.32
  5. Step 5: Solve for x
    x = 220,817.32/410.45
  6. Step 6: Final answer
    x = 537.99

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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.