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Finding the Fourth Proportional to 474.41, 652.04 and 418.82

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Solution

The fourth proportional to 474.41, 652.04 and 418.82 is: 575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.41 : 652.04 = 418.82 : x
  2. Step 2: Convert to fraction form
    474.41/652.04 = 418.82/x
  3. Step 3: Cross multiply
    474.41x = 652.04 × 418.82
  4. Step 4: Simplify right side
    474.41x = 273,082.04
  5. Step 5: Solve for x
    x = 273,082.04/474.41
  6. Step 6: Final answer
    x = 575.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.