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Finding the Fourth Proportional to 662.66, 913.95 and 463.43

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Solution

The fourth proportional to 662.66, 913.95 and 463.43 is: 639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.66 : 913.95 = 463.43 : x
  2. Step 2: Convert to fraction form
    662.66/913.95 = 463.43/x
  3. Step 3: Cross multiply
    662.66x = 913.95 × 463.43
  4. Step 4: Simplify right side
    662.66x = 423,551.85
  5. Step 5: Solve for x
    x = 423,551.85/662.66
  6. Step 6: Final answer
    x = 639.17

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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.