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Finding the Fourth Proportional to 463.62, 640.80 and 346.98

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Solution

The fourth proportional to 463.62, 640.80 and 346.98 is: 479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.62 : 640.80 = 346.98 : x
  2. Step 2: Convert to fraction form
    463.62/640.80 = 346.98/x
  3. Step 3: Cross multiply
    463.62x = 640.80 × 346.98
  4. Step 4: Simplify right side
    463.62x = 222,344.78
  5. Step 5: Solve for x
    x = 222,344.78/463.62
  6. Step 6: Final answer
    x = 479.58

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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.