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Finding the Fourth Proportional to 382.61, 528.03 and 216.83

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Solution

The fourth proportional to 382.61, 528.03 and 216.83 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.61 : 528.03 = 216.83 : x
  2. Step 2: Convert to fraction form
    382.61/528.03 = 216.83/x
  3. Step 3: Cross multiply
    382.61x = 528.03 × 216.83
  4. Step 4: Simplify right side
    382.61x = 114,490.10
  5. Step 5: Solve for x
    x = 114,490.10/382.61
  6. Step 6: Final answer
    x = 299.24

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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.