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Finding the Fourth Proportional to 387.24, 533.94 and 282.12

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Solution

The fourth proportional to 387.24, 533.94 and 282.12 is: 389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.24 : 533.94 = 282.12 : x
  2. Step 2: Convert to fraction form
    387.24/533.94 = 282.12/x
  3. Step 3: Cross multiply
    387.24x = 533.94 × 282.12
  4. Step 4: Simplify right side
    387.24x = 150,635.15
  5. Step 5: Solve for x
    x = 150,635.15/387.24
  6. Step 6: Final answer
    x = 389.00

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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.