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Finding the Fourth Proportional to 474.08, 654.50 and 326.93

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Solution

The fourth proportional to 474.08, 654.50 and 326.93 is: 451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.08 : 654.50 = 326.93 : x
  2. Step 2: Convert to fraction form
    474.08/654.50 = 326.93/x
  3. Step 3: Cross multiply
    474.08x = 654.50 × 326.93
  4. Step 4: Simplify right side
    474.08x = 213,975.69
  5. Step 5: Solve for x
    x = 213,975.69/474.08
  6. Step 6: Final answer
    x = 451.35

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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.