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Finding the Fourth Proportional to 603.42, 904.44 and 329.75

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Solution

The fourth proportional to 603.42, 904.44 and 329.75 is: 494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.42 : 904.44 = 329.75 : x
  2. Step 2: Convert to fraction form
    603.42/904.44 = 329.75/x
  3. Step 3: Cross multiply
    603.42x = 904.44 × 329.75
  4. Step 4: Simplify right side
    603.42x = 298,239.09
  5. Step 5: Solve for x
    x = 298,239.09/603.42
  6. Step 6: Final answer
    x = 494.25

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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.