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Finding the Fourth Proportional to 463.34, 639.44 and 264.23

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Solution

The fourth proportional to 463.34, 639.44 and 264.23 is: 364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.34 : 639.44 = 264.23 : x
  2. Step 2: Convert to fraction form
    463.34/639.44 = 264.23/x
  3. Step 3: Cross multiply
    463.34x = 639.44 × 264.23
  4. Step 4: Simplify right side
    463.34x = 168,959.09
  5. Step 5: Solve for x
    x = 168,959.09/463.34
  6. Step 6: Final answer
    x = 364.66

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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.