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Finding the Fourth Proportional to 425.44, 637.84 and 382

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Solution

The fourth proportional to 425.44, 637.84 and 382 is: 572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.44 : 637.84 = 382 : x
  2. Step 2: Convert to fraction form
    425.44/637.84 = 382/x
  3. Step 3: Cross multiply
    425.44x = 637.84 × 382
  4. Step 4: Simplify right side
    425.44x = 243,654.88
  5. Step 5: Solve for x
    x = 243,654.88/425.44
  6. Step 6: Final answer
    x = 572.71

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Why These Related Problems?

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