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Finding the Fourth Proportional to 474, 653.64 and 427.44

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Solution

The fourth proportional to 474, 653.64 and 427.44 is: 589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 653.64 = 427.44 : x
  2. Step 2: Convert to fraction form
    474/653.64 = 427.44/x
  3. Step 3: Cross multiply
    474x = 653.64 × 427.44
  4. Step 4: Simplify right side
    474x = 279,391.88
  5. Step 5: Solve for x
    x = 279,391.88/474
  6. Step 6: Final answer
    x = 589.43

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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.