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Finding the Fourth Proportional to 483.94, 725.20 and 362.14

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Solution

The fourth proportional to 483.94, 725.20 and 362.14 is: 542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.94 : 725.20 = 362.14 : x
  2. Step 2: Convert to fraction form
    483.94/725.20 = 362.14/x
  3. Step 3: Cross multiply
    483.94x = 725.20 × 362.14
  4. Step 4: Simplify right side
    483.94x = 262,623.93
  5. Step 5: Solve for x
    x = 262,623.93/483.94
  6. Step 6: Final answer
    x = 542.68

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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.