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Finding the Fourth Proportional to 472.64, 652.46 and 342.23

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Solution

The fourth proportional to 472.64, 652.46 and 342.23 is: 472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 652.46 = 342.23 : x
  2. Step 2: Convert to fraction form
    472.64/652.46 = 342.23/x
  3. Step 3: Cross multiply
    472.64x = 652.46 × 342.23
  4. Step 4: Simplify right side
    472.64x = 223,286.41
  5. Step 5: Solve for x
    x = 223,286.41/472.64
  6. Step 6: Final answer
    x = 472.43

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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.