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Finding the Fourth Proportional to 383.19, 574.82 and 378.45

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Solution

The fourth proportional to 383.19, 574.82 and 378.45 is: 567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.19 : 574.82 = 378.45 : x
  2. Step 2: Convert to fraction form
    383.19/574.82 = 378.45/x
  3. Step 3: Cross multiply
    383.19x = 574.82 × 378.45
  4. Step 4: Simplify right side
    383.19x = 217,538.74
  5. Step 5: Solve for x
    x = 217,538.74/383.19
  6. Step 6: Final answer
    x = 567.70

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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.