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Finding the Fourth Proportional to 603.60, 832.71 and 382.44

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Solution

The fourth proportional to 603.60, 832.71 and 382.44 is: 527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.60 : 832.71 = 382.44 : x
  2. Step 2: Convert to fraction form
    603.60/832.71 = 382.44/x
  3. Step 3: Cross multiply
    603.60x = 832.71 × 382.44
  4. Step 4: Simplify right side
    603.60x = 318,461.61
  5. Step 5: Solve for x
    x = 318,461.61/603.60
  6. Step 6: Final answer
    x = 527.60

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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.