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Finding the Fourth Proportional to 382.87, 528.09 and 264.88

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Solution

The fourth proportional to 382.87, 528.09 and 264.88 is: 365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.87 : 528.09 = 264.88 : x
  2. Step 2: Convert to fraction form
    382.87/528.09 = 264.88/x
  3. Step 3: Cross multiply
    382.87x = 528.09 × 264.88
  4. Step 4: Simplify right side
    382.87x = 139,880.48
  5. Step 5: Solve for x
    x = 139,880.48/382.87
  6. Step 6: Final answer
    x = 365.35

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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.