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Finding the Fourth Proportional to 474.01, 654.13 and 264.16

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Solution

The fourth proportional to 474.01, 654.13 and 264.16 is: 364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.01 : 654.13 = 264.16 : x
  2. Step 2: Convert to fraction form
    474.01/654.13 = 264.16/x
  3. Step 3: Cross multiply
    474.01x = 654.13 × 264.16
  4. Step 4: Simplify right side
    474.01x = 172,794.98
  5. Step 5: Solve for x
    x = 172,794.98/474.01
  6. Step 6: Final answer
    x = 364.54

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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.