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Finding the Fourth Proportional to 388.20, 581.46 and 319.56

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Solution

The fourth proportional to 388.20, 581.46 and 319.56 is: 478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.20 : 581.46 = 319.56 : x
  2. Step 2: Convert to fraction form
    388.20/581.46 = 319.56/x
  3. Step 3: Cross multiply
    388.20x = 581.46 × 319.56
  4. Step 4: Simplify right side
    388.20x = 185,811.36
  5. Step 5: Solve for x
    x = 185,811.36/388.20
  6. Step 6: Final answer
    x = 478.65

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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.