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Finding the Fourth Proportional to 382.94, 528.47 and 208.29

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Solution

The fourth proportional to 382.94, 528.47 and 208.29 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.94 : 528.47 = 208.29 : x
  2. Step 2: Convert to fraction form
    382.94/528.47 = 208.29/x
  3. Step 3: Cross multiply
    382.94x = 528.47 × 208.29
  4. Step 4: Simplify right side
    382.94x = 110,075.02
  5. Step 5: Solve for x
    x = 110,075.02/382.94
  6. Step 6: Final answer
    x = 287.45

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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.