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Finding the Fourth Proportional to 472.38, 652.74 and 393.60

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Solution

The fourth proportional to 472.38, 652.74 and 393.60 is: 543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.38 : 652.74 = 393.60 : x
  2. Step 2: Convert to fraction form
    472.38/652.74 = 393.60/x
  3. Step 3: Cross multiply
    472.38x = 652.74 × 393.60
  4. Step 4: Simplify right side
    472.38x = 256,918.46
  5. Step 5: Solve for x
    x = 256,918.46/472.38
  6. Step 6: Final answer
    x = 543.88

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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.