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Finding the Fourth Proportional to 367.32, 506.54 and 288.50

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Solution

The fourth proportional to 367.32, 506.54 and 288.50 is: 397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.32 : 506.54 = 288.50 : x
  2. Step 2: Convert to fraction form
    367.32/506.54 = 288.50/x
  3. Step 3: Cross multiply
    367.32x = 506.54 × 288.50
  4. Step 4: Simplify right side
    367.32x = 146,136.79
  5. Step 5: Solve for x
    x = 146,136.79/367.32
  6. Step 6: Final answer
    x = 397.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.