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Finding the Fourth Proportional to 388.56, 582.72 and 258.72

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Solution

The fourth proportional to 388.56, 582.72 and 258.72 is: 388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.56 : 582.72 = 258.72 : x
  2. Step 2: Convert to fraction form
    388.56/582.72 = 258.72/x
  3. Step 3: Cross multiply
    388.56x = 582.72 × 258.72
  4. Step 4: Simplify right side
    388.56x = 150,761.32
  5. Step 5: Solve for x
    x = 150,761.32/388.56
  6. Step 6: Final answer
    x = 388.00

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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.