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Finding the Fourth Proportional to 905.67, 1,358.60 and 443.36

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Solution

The fourth proportional to 905.67, 1,358.60 and 443.36 is: 665.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.67 : 1,358.60 = 443.36 : x
  2. Step 2: Convert to fraction form
    905.67/1,358.60 = 443.36/x
  3. Step 3: Cross multiply
    905.67x = 1,358.60 × 443.36
  4. Step 4: Simplify right side
    905.67x = 602,339.89
  5. Step 5: Solve for x
    x = 602,339.89/905.67
  6. Step 6: Final answer
    x = 665.08

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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.