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Finding the Fourth Proportional to 474.63, 654.29 and 334.29

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Solution

The fourth proportional to 474.63, 654.29 and 334.29 is: 460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.63 : 654.29 = 334.29 : x
  2. Step 2: Convert to fraction form
    474.63/654.29 = 334.29/x
  3. Step 3: Cross multiply
    474.63x = 654.29 × 334.29
  4. Step 4: Simplify right side
    474.63x = 218,720.93
  5. Step 5: Solve for x
    x = 218,720.93/474.63
  6. Step 6: Final answer
    x = 460.82

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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.