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Finding the Fourth Proportional to 603.08, 832.11 and 354.30

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Solution

The fourth proportional to 603.08, 832.11 and 354.30 is: 488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.08 : 832.11 = 354.30 : x
  2. Step 2: Convert to fraction form
    603.08/832.11 = 354.30/x
  3. Step 3: Cross multiply
    603.08x = 832.11 × 354.30
  4. Step 4: Simplify right side
    603.08x = 294,816.57
  5. Step 5: Solve for x
    x = 294,816.57/603.08
  6. Step 6: Final answer
    x = 488.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.