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Finding the Fourth Proportional to 388.90, 581.67 and 378.42

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Solution

The fourth proportional to 388.90, 581.67 and 378.42 is: 566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.90 : 581.67 = 378.42 : x
  2. Step 2: Convert to fraction form
    388.90/581.67 = 378.42/x
  3. Step 3: Cross multiply
    388.90x = 581.67 × 378.42
  4. Step 4: Simplify right side
    388.90x = 220,115.56
  5. Step 5: Solve for x
    x = 220,115.56/388.90
  6. Step 6: Final answer
    x = 566.00

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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.