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Finding the Fourth Proportional to 603.65, 906.03 and 330.02

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Solution

The fourth proportional to 603.65, 906.03 and 330.02 is: 495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.65 : 906.03 = 330.02 : x
  2. Step 2: Convert to fraction form
    603.65/906.03 = 330.02/x
  3. Step 3: Cross multiply
    603.65x = 906.03 × 330.02
  4. Step 4: Simplify right side
    603.65x = 299,008.02
  5. Step 5: Solve for x
    x = 299,008.02/603.65
  6. Step 6: Final answer
    x = 495.33

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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.