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Finding the Fourth Proportional to 905.58, 1,358.98 and 411.78

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Solution

The fourth proportional to 905.58, 1,358.98 and 411.78 is: 617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.58 : 1,358.98 = 411.78 : x
  2. Step 2: Convert to fraction form
    905.58/1,358.98 = 411.78/x
  3. Step 3: Cross multiply
    905.58x = 1,358.98 × 411.78
  4. Step 4: Simplify right side
    905.58x = 559,604.85
  5. Step 5: Solve for x
    x = 559,604.85/905.58
  6. Step 6: Final answer
    x = 617.95

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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.