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Finding the Fourth Proportional to 472.38, 652.23 and 420

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Solution

The fourth proportional to 472.38, 652.23 and 420 is: 579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.38 : 652.23 = 420 : x
  2. Step 2: Convert to fraction form
    472.38/652.23 = 420/x
  3. Step 3: Cross multiply
    472.38x = 652.23 × 420
  4. Step 4: Simplify right side
    472.38x = 273,936.60
  5. Step 5: Solve for x
    x = 273,936.60/472.38
  6. Step 6: Final answer
    x = 579.91

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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.