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Finding the Fourth Proportional to 615.42, 849.24 and 382.50

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Solution

The fourth proportional to 615.42, 849.24 and 382.50 is: 527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.42 : 849.24 = 382.50 : x
  2. Step 2: Convert to fraction form
    615.42/849.24 = 382.50/x
  3. Step 3: Cross multiply
    615.42x = 849.24 × 382.50
  4. Step 4: Simplify right side
    615.42x = 324,834.30
  5. Step 5: Solve for x
    x = 324,834.30/615.42
  6. Step 6: Final answer
    x = 527.83

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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.