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Finding the Fourth Proportional to 603.20, 832.46 and 337.66

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Solution

The fourth proportional to 603.20, 832.46 and 337.66 is: 466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.20 : 832.46 = 337.66 : x
  2. Step 2: Convert to fraction form
    603.20/832.46 = 337.66/x
  3. Step 3: Cross multiply
    603.20x = 832.46 × 337.66
  4. Step 4: Simplify right side
    603.20x = 281,088.44
  5. Step 5: Solve for x
    x = 281,088.44/603.20
  6. Step 6: Final answer
    x = 466.00

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