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Finding the Fourth Proportional to 603.25, 903.42 and 294.34

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Solution

The fourth proportional to 603.25, 903.42 and 294.34 is: 440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.25 : 903.42 = 294.34 : x
  2. Step 2: Convert to fraction form
    603.25/903.42 = 294.34/x
  3. Step 3: Cross multiply
    603.25x = 903.42 × 294.34
  4. Step 4: Simplify right side
    603.25x = 265,912.64
  5. Step 5: Solve for x
    x = 265,912.64/603.25
  6. Step 6: Final answer
    x = 440.80

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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.