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Finding the Fourth Proportional to 382.98, 528.75 and 285.24

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Solution

The fourth proportional to 382.98, 528.75 and 285.24 is: 393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.98 : 528.75 = 285.24 : x
  2. Step 2: Convert to fraction form
    382.98/528.75 = 285.24/x
  3. Step 3: Cross multiply
    382.98x = 528.75 × 285.24
  4. Step 4: Simplify right side
    382.98x = 150,820.65
  5. Step 5: Solve for x
    x = 150,820.65/382.98
  6. Step 6: Final answer
    x = 393.81

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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.