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Finding the Fourth Proportional to 602.91, 832.14 and 382.14

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Solution

The fourth proportional to 602.91, 832.14 and 382.14 is: 527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.91 : 832.14 = 382.14 : x
  2. Step 2: Convert to fraction form
    602.91/832.14 = 382.14/x
  3. Step 3: Cross multiply
    602.91x = 832.14 × 382.14
  4. Step 4: Simplify right side
    602.91x = 317,993.98
  5. Step 5: Solve for x
    x = 317,993.98/602.91
  6. Step 6: Final answer
    x = 527.43

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Why These Related Problems?

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