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Finding the Fourth Proportional to 393.54, 589.50 and 256.25

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Solution

The fourth proportional to 393.54, 589.50 and 256.25 is: 383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.54 : 589.50 = 256.25 : x
  2. Step 2: Convert to fraction form
    393.54/589.50 = 256.25/x
  3. Step 3: Cross multiply
    393.54x = 589.50 × 256.25
  4. Step 4: Simplify right side
    393.54x = 151,056.43
  5. Step 5: Solve for x
    x = 151,056.43/393.54
  6. Step 6: Final answer
    x = 383.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.