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Finding the Fourth Proportional to 603.01, 902.86 and 309.88

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Solution

The fourth proportional to 603.01, 902.86 and 309.88 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.01 : 902.86 = 309.88 : x
  2. Step 2: Convert to fraction form
    603.01/902.86 = 309.88/x
  3. Step 3: Cross multiply
    603.01x = 902.86 × 309.88
  4. Step 4: Simplify right side
    603.01x = 279,778.03
  5. Step 5: Solve for x
    x = 279,778.03/603.01
  6. Step 6: Final answer
    x = 463.97

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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.