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Finding the Fourth Proportional to 423.20, 582.72 and 380

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Solution

The fourth proportional to 423.20, 582.72 and 380 is: 523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 582.72 = 380 : x
  2. Step 2: Convert to fraction form
    423.20/582.72 = 380/x
  3. Step 3: Cross multiply
    423.20x = 582.72 × 380
  4. Step 4: Simplify right side
    423.20x = 221,433.60
  5. Step 5: Solve for x
    x = 221,433.60/423.20
  6. Step 6: Final answer
    x = 523.24

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Why These Related Problems?

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