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Finding the Fourth Proportional to 602.94, 905.30 and 371.16

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Solution

The fourth proportional to 602.94, 905.30 and 371.16 is: 557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 905.30 = 371.16 : x
  2. Step 2: Convert to fraction form
    602.94/905.30 = 371.16/x
  3. Step 3: Cross multiply
    602.94x = 905.30 × 371.16
  4. Step 4: Simplify right side
    602.94x = 336,012.08
  5. Step 5: Solve for x
    x = 336,012.08/602.94
  6. Step 6: Final answer
    x = 557.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.