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Finding the Fourth Proportional to 603.29, 832.40 and 382.16

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Solution

The fourth proportional to 603.29, 832.40 and 382.16 is: 527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.29 : 832.40 = 382.16 : x
  2. Step 2: Convert to fraction form
    603.29/832.40 = 382.16/x
  3. Step 3: Cross multiply
    603.29x = 832.40 × 382.16
  4. Step 4: Simplify right side
    603.29x = 318,113.02
  5. Step 5: Solve for x
    x = 318,113.02/603.29
  6. Step 6: Final answer
    x = 527.29

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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.