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Finding the Fourth Proportional to 474, 654.12 and 336.24

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Solution

The fourth proportional to 474, 654.12 and 336.24 is: 464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 654.12 = 336.24 : x
  2. Step 2: Convert to fraction form
    474/654.12 = 336.24/x
  3. Step 3: Cross multiply
    474x = 654.12 × 336.24
  4. Step 4: Simplify right side
    474x = 219,941.31
  5. Step 5: Solve for x
    x = 219,941.31/474
  6. Step 6: Final answer
    x = 464.01

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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.