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Finding the Fourth Proportional to 385.80, 574.94 and 374.67

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Solution

The fourth proportional to 385.80, 574.94 and 374.67 is: 558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 574.94 = 374.67 : x
  2. Step 2: Convert to fraction form
    385.80/574.94 = 374.67/x
  3. Step 3: Cross multiply
    385.80x = 574.94 × 374.67
  4. Step 4: Simplify right side
    385.80x = 215,410.90
  5. Step 5: Solve for x
    x = 215,410.90/385.80
  6. Step 6: Final answer
    x = 558.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.