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Finding the Fourth Proportional to 483.98, 725.64 and 191.51

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Solution

The fourth proportional to 483.98, 725.64 and 191.51 is: 287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.98 : 725.64 = 191.51 : x
  2. Step 2: Convert to fraction form
    483.98/725.64 = 191.51/x
  3. Step 3: Cross multiply
    483.98x = 725.64 × 191.51
  4. Step 4: Simplify right side
    483.98x = 138,965.69
  5. Step 5: Solve for x
    x = 138,965.69/483.98
  6. Step 6: Final answer
    x = 287.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.