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Finding the Fourth Proportional to 474.16, 654.29 and 264.31

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Solution

The fourth proportional to 474.16, 654.29 and 264.31 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.16 : 654.29 = 264.31 : x
  2. Step 2: Convert to fraction form
    474.16/654.29 = 264.31/x
  3. Step 3: Cross multiply
    474.16x = 654.29 × 264.31
  4. Step 4: Simplify right side
    474.16x = 172,935.39
  5. Step 5: Solve for x
    x = 172,935.39/474.16
  6. Step 6: Final answer
    x = 364.72

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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.