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Finding the Fourth Proportional to 463.60, 640 and 306.48

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Solution

The fourth proportional to 463.60, 640 and 306.48 is: 423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.60 : 640 = 306.48 : x
  2. Step 2: Convert to fraction form
    463.60/640 = 306.48/x
  3. Step 3: Cross multiply
    463.60x = 640 × 306.48
  4. Step 4: Simplify right side
    463.60x = 196,147.20
  5. Step 5: Solve for x
    x = 196,147.20/463.60
  6. Step 6: Final answer
    x = 423.10

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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.