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Finding the Fourth Proportional to 382.30, 572.96 and 283.34

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Solution

The fourth proportional to 382.30, 572.96 and 283.34 is: 424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.30 : 572.96 = 283.34 : x
  2. Step 2: Convert to fraction form
    382.30/572.96 = 283.34/x
  3. Step 3: Cross multiply
    382.30x = 572.96 × 283.34
  4. Step 4: Simplify right side
    382.30x = 162,342.49
  5. Step 5: Solve for x
    x = 162,342.49/382.30
  6. Step 6: Final answer
    x = 424.65

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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.