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Finding the Fourth Proportional to 378.60, 567.87 and 356.04

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Solution

The fourth proportional to 378.60, 567.87 and 356.04 is: 534.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.60 : 567.87 = 356.04 : x
  2. Step 2: Convert to fraction form
    378.60/567.87 = 356.04/x
  3. Step 3: Cross multiply
    378.60x = 567.87 × 356.04
  4. Step 4: Simplify right side
    378.60x = 202,184.43
  5. Step 5: Solve for x
    x = 202,184.43/378.60
  6. Step 6: Final answer
    x = 534.03

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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.