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Finding the Fourth Proportional to 905.22, 1,357.65 and 442.80

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Solution

The fourth proportional to 905.22, 1,357.65 and 442.80 is: 664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.22 : 1,357.65 = 442.80 : x
  2. Step 2: Convert to fraction form
    905.22/1,357.65 = 442.80/x
  3. Step 3: Cross multiply
    905.22x = 1,357.65 × 442.80
  4. Step 4: Simplify right side
    905.22x = 601,167.42
  5. Step 5: Solve for x
    x = 601,167.42/905.22
  6. Step 6: Final answer
    x = 664.11

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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.