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Finding the Fourth Proportional to 463.30, 639.33 and 264.14

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Solution

The fourth proportional to 463.30, 639.33 and 264.14 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.30 : 639.33 = 264.14 : x
  2. Step 2: Convert to fraction form
    463.30/639.33 = 264.14/x
  3. Step 3: Cross multiply
    463.30x = 639.33 × 264.14
  4. Step 4: Simplify right side
    463.30x = 168,870.84
  5. Step 5: Solve for x
    x = 168,870.84/463.30
  6. Step 6: Final answer
    x = 364.50

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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.