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Finding the Fourth Proportional to 382.16, 572.88 and 208.64

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Solution

The fourth proportional to 382.16, 572.88 and 208.64 is: 312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 572.88 = 208.64 : x
  2. Step 2: Convert to fraction form
    382.16/572.88 = 208.64/x
  3. Step 3: Cross multiply
    382.16x = 572.88 × 208.64
  4. Step 4: Simplify right side
    382.16x = 119,525.68
  5. Step 5: Solve for x
    x = 119,525.68/382.16
  6. Step 6: Final answer
    x = 312.76

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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.