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Finding the Fourth Proportional to 602.94, 832.10 and 354.54

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Solution

The fourth proportional to 602.94, 832.10 and 354.54 is: 489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 832.10 = 354.54 : x
  2. Step 2: Convert to fraction form
    602.94/832.10 = 354.54/x
  3. Step 3: Cross multiply
    602.94x = 832.10 × 354.54
  4. Step 4: Simplify right side
    602.94x = 295,010.96
  5. Step 5: Solve for x
    x = 295,010.96/602.94
  6. Step 6: Final answer
    x = 489.29

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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.