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Finding the Fourth Proportional to 904.10, 1,356.30 and 441.83

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Solution

The fourth proportional to 904.10, 1,356.30 and 441.83 is: 662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.10 : 1,356.30 = 441.83 : x
  2. Step 2: Convert to fraction form
    904.10/1,356.30 = 441.83/x
  3. Step 3: Cross multiply
    904.10x = 1,356.30 × 441.83
  4. Step 4: Simplify right side
    904.10x = 599,257.42
  5. Step 5: Solve for x
    x = 599,257.42/904.10
  6. Step 6: Final answer
    x = 662.83

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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.