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Finding the Fourth Proportional to 483.14, 725.01 and 266.86

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Solution

The fourth proportional to 483.14, 725.01 and 266.86 is: 400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.14 : 725.01 = 266.86 : x
  2. Step 2: Convert to fraction form
    483.14/725.01 = 266.86/x
  3. Step 3: Cross multiply
    483.14x = 725.01 × 266.86
  4. Step 4: Simplify right side
    483.14x = 193,476.17
  5. Step 5: Solve for x
    x = 193,476.17/483.14
  6. Step 6: Final answer
    x = 400.46

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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.