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Finding the Fourth Proportional to 602.94, 832.02 and 337.41

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Solution

The fourth proportional to 602.94, 832.02 and 337.41 is: 465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 832.02 = 337.41 : x
  2. Step 2: Convert to fraction form
    602.94/832.02 = 337.41/x
  3. Step 3: Cross multiply
    602.94x = 832.02 × 337.41
  4. Step 4: Simplify right side
    602.94x = 280,731.87
  5. Step 5: Solve for x
    x = 280,731.87/602.94
  6. Step 6: Final answer
    x = 465.60

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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.