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Finding the Fourth Proportional to 463.24, 639.24 and 264.08

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Solution

The fourth proportional to 463.24, 639.24 and 264.08 is: 364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.24 : 639.24 = 264.08 : x
  2. Step 2: Convert to fraction form
    463.24/639.24 = 264.08/x
  3. Step 3: Cross multiply
    463.24x = 639.24 × 264.08
  4. Step 4: Simplify right side
    463.24x = 168,810.50
  5. Step 5: Solve for x
    x = 168,810.50/463.24
  6. Step 6: Final answer
    x = 364.41

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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.