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Finding the Fourth Proportional to 603.58, 832.92 and 338.02

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Solution

The fourth proportional to 603.58, 832.92 and 338.02 is: 466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.58 : 832.92 = 338.02 : x
  2. Step 2: Convert to fraction form
    603.58/832.92 = 338.02/x
  3. Step 3: Cross multiply
    603.58x = 832.92 × 338.02
  4. Step 4: Simplify right side
    603.58x = 281,543.62
  5. Step 5: Solve for x
    x = 281,543.62/603.58
  6. Step 6: Final answer
    x = 466.46

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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.