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Finding the Fourth Proportional to 382.33, 572.74 and 176.62

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Solution

The fourth proportional to 382.33, 572.74 and 176.62 is: 264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.33 : 572.74 = 176.62 : x
  2. Step 2: Convert to fraction form
    382.33/572.74 = 176.62/x
  3. Step 3: Cross multiply
    382.33x = 572.74 × 176.62
  4. Step 4: Simplify right side
    382.33x = 101,157.34
  5. Step 5: Solve for x
    x = 101,157.34/382.33
  6. Step 6: Final answer
    x = 264.58

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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.