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Finding the Fourth Proportional to 302.52, 454.20 and 289.44

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Solution

The fourth proportional to 302.52, 454.20 and 289.44 is: 434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.52 : 454.20 = 289.44 : x
  2. Step 2: Convert to fraction form
    302.52/454.20 = 289.44/x
  3. Step 3: Cross multiply
    302.52x = 454.20 × 289.44
  4. Step 4: Simplify right side
    302.52x = 131,463.65
  5. Step 5: Solve for x
    x = 131,463.65/302.52
  6. Step 6: Final answer
    x = 434.56

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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.