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Finding the Fourth Proportional to 905.78, 1,357.86 and 328.26

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Solution

The fourth proportional to 905.78, 1,357.86 and 328.26 is: 492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.78 : 1,357.86 = 328.26 : x
  2. Step 2: Convert to fraction form
    905.78/1,357.86 = 328.26/x
  3. Step 3: Cross multiply
    905.78x = 1,357.86 × 328.26
  4. Step 4: Simplify right side
    905.78x = 445,731.12
  5. Step 5: Solve for x
    x = 445,731.12/905.78
  6. Step 6: Final answer
    x = 492.10

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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.