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Finding the Fourth Proportional to 367.44, 510.47 and 364.04

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Solution

The fourth proportional to 367.44, 510.47 and 364.04 is: 505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.44 : 510.47 = 364.04 : x
  2. Step 2: Convert to fraction form
    367.44/510.47 = 364.04/x
  3. Step 3: Cross multiply
    367.44x = 510.47 × 364.04
  4. Step 4: Simplify right side
    367.44x = 185,831.50
  5. Step 5: Solve for x
    x = 185,831.50/367.44
  6. Step 6: Final answer
    x = 505.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.