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Finding the Fourth Proportional to 474.15, 654.34 and 264.35

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Solution

The fourth proportional to 474.15, 654.34 and 264.35 is: 364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.15 : 654.34 = 264.35 : x
  2. Step 2: Convert to fraction form
    474.15/654.34 = 264.35/x
  3. Step 3: Cross multiply
    474.15x = 654.34 × 264.35
  4. Step 4: Simplify right side
    474.15x = 172,976.75
  5. Step 5: Solve for x
    x = 172,976.75/474.15
  6. Step 6: Final answer
    x = 364.81

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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.