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Finding the Fourth Proportional to 905.39, 1,357.61 and 442.25

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Solution

The fourth proportional to 905.39, 1,357.61 and 442.25 is: 663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.39 : 1,357.61 = 442.25 : x
  2. Step 2: Convert to fraction form
    905.39/1,357.61 = 442.25/x
  3. Step 3: Cross multiply
    905.39x = 1,357.61 × 442.25
  4. Step 4: Simplify right side
    905.39x = 600,404.21
  5. Step 5: Solve for x
    x = 600,404.21/905.39
  6. Step 6: Final answer
    x = 663.14

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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.