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Finding the Fourth Proportional to 463.84, 639.60 and 324.12

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Solution

The fourth proportional to 463.84, 639.60 and 324.12 is: 446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.84 : 639.60 = 324.12 : x
  2. Step 2: Convert to fraction form
    463.84/639.60 = 324.12/x
  3. Step 3: Cross multiply
    463.84x = 639.60 × 324.12
  4. Step 4: Simplify right side
    463.84x = 207,307.15
  5. Step 5: Solve for x
    x = 207,307.15/463.84
  6. Step 6: Final answer
    x = 446.94

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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.