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Finding the Fourth Proportional to 388.30, 582.36 and 256.54

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Solution

The fourth proportional to 388.30, 582.36 and 256.54 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.30 : 582.36 = 256.54 : x
  2. Step 2: Convert to fraction form
    388.30/582.36 = 256.54/x
  3. Step 3: Cross multiply
    388.30x = 582.36 × 256.54
  4. Step 4: Simplify right side
    388.30x = 149,398.63
  5. Step 5: Solve for x
    x = 149,398.63/388.30
  6. Step 6: Final answer
    x = 384.75

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