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Finding the Fourth Proportional to 463.51, 639.74 and 277.11

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Solution

The fourth proportional to 463.51, 639.74 and 277.11 is: 382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.51 : 639.74 = 277.11 : x
  2. Step 2: Convert to fraction form
    463.51/639.74 = 277.11/x
  3. Step 3: Cross multiply
    463.51x = 639.74 × 277.11
  4. Step 4: Simplify right side
    463.51x = 177,273.77
  5. Step 5: Solve for x
    x = 177,273.77/463.51
  6. Step 6: Final answer
    x = 382.46

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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.