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Finding the Fourth Proportional to 327.51, 492.95 and 287.82

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Solution

The fourth proportional to 327.51, 492.95 and 287.82 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.51 : 492.95 = 287.82 : x
  2. Step 2: Convert to fraction form
    327.51/492.95 = 287.82/x
  3. Step 3: Cross multiply
    327.51x = 492.95 × 287.82
  4. Step 4: Simplify right side
    327.51x = 141,881.59
  5. Step 5: Solve for x
    x = 141,881.59/327.51
  6. Step 6: Final answer
    x = 433.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.