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Finding the Fourth Proportional to 474.13, 654.23 and 264.24

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Solution

The fourth proportional to 474.13, 654.23 and 264.24 is: 364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.13 : 654.23 = 264.24 : x
  2. Step 2: Convert to fraction form
    474.13/654.23 = 264.24/x
  3. Step 3: Cross multiply
    474.13x = 654.23 × 264.24
  4. Step 4: Simplify right side
    474.13x = 172,872.91
  5. Step 5: Solve for x
    x = 172,872.91/474.13
  6. Step 6: Final answer
    x = 364.61

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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.