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Finding the Fourth Proportional to 474.83, 654.71 and 334.97

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Solution

The fourth proportional to 474.83, 654.71 and 334.97 is: 461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.83 : 654.71 = 334.97 : x
  2. Step 2: Convert to fraction form
    474.83/654.71 = 334.97/x
  3. Step 3: Cross multiply
    474.83x = 654.71 × 334.97
  4. Step 4: Simplify right side
    474.83x = 219,303.26
  5. Step 5: Solve for x
    x = 219,303.26/474.83
  6. Step 6: Final answer
    x = 461.86

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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.