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Finding the Fourth Proportional to 393.37, 541.75 and 282.65

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Solution

The fourth proportional to 393.37, 541.75 and 282.65 is: 389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.37 : 541.75 = 282.65 : x
  2. Step 2: Convert to fraction form
    393.37/541.75 = 282.65/x
  3. Step 3: Cross multiply
    393.37x = 541.75 × 282.65
  4. Step 4: Simplify right side
    393.37x = 153,125.64
  5. Step 5: Solve for x
    x = 153,125.64/393.37
  6. Step 6: Final answer
    x = 389.27

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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.