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Finding the Fourth Proportional to 383.58, 574.61 and 302.18

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Solution

The fourth proportional to 383.58, 574.61 and 302.18 is: 452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.58 : 574.61 = 302.18 : x
  2. Step 2: Convert to fraction form
    383.58/574.61 = 302.18/x
  3. Step 3: Cross multiply
    383.58x = 574.61 × 302.18
  4. Step 4: Simplify right side
    383.58x = 173,631.27
  5. Step 5: Solve for x
    x = 173,631.27/383.58
  6. Step 6: Final answer
    x = 452.66

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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.