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Finding the Fourth Proportional to 474.86, 654.63 and 334.54

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Solution

The fourth proportional to 474.86, 654.63 and 334.54 is: 461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.86 : 654.63 = 334.54 : x
  2. Step 2: Convert to fraction form
    474.86/654.63 = 334.54/x
  3. Step 3: Cross multiply
    474.86x = 654.63 × 334.54
  4. Step 4: Simplify right side
    474.86x = 218,999.92
  5. Step 5: Solve for x
    x = 218,999.92/474.86
  6. Step 6: Final answer
    x = 461.19

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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.