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Finding the Fourth Proportional to 423.21, 633.78 and 382.17

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Solution

The fourth proportional to 423.21, 633.78 and 382.17 is: 572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.21 : 633.78 = 382.17 : x
  2. Step 2: Convert to fraction form
    423.21/633.78 = 382.17/x
  3. Step 3: Cross multiply
    423.21x = 633.78 × 382.17
  4. Step 4: Simplify right side
    423.21x = 242,211.70
  5. Step 5: Solve for x
    x = 242,211.70/423.21
  6. Step 6: Final answer
    x = 572.32

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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.