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Finding the Fourth Proportional to 603.14, 832.26 and 337.60

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Solution

The fourth proportional to 603.14, 832.26 and 337.60 is: 465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.14 : 832.26 = 337.60 : x
  2. Step 2: Convert to fraction form
    603.14/832.26 = 337.60/x
  3. Step 3: Cross multiply
    603.14x = 832.26 × 337.60
  4. Step 4: Simplify right side
    603.14x = 280,970.98
  5. Step 5: Solve for x
    x = 280,970.98/603.14
  6. Step 6: Final answer
    x = 465.85

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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.