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Finding the Fourth Proportional to 382.65, 528.06 and 208.00

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Solution

The fourth proportional to 382.65, 528.06 and 208.00 is: 287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.65 : 528.06 = 208.00 : x
  2. Step 2: Convert to fraction form
    382.65/528.06 = 208.00/x
  3. Step 3: Cross multiply
    382.65x = 528.06 × 208.00
  4. Step 4: Simplify right side
    382.65x = 109,832.80
  5. Step 5: Solve for x
    x = 109,832.80/382.65
  6. Step 6: Final answer
    x = 287.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.