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Finding the Fourth Proportional to 417, 575.73 and 262.02

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Solution

The fourth proportional to 417, 575.73 and 262.02 is: 361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 575.73 = 262.02 : x
  2. Step 2: Convert to fraction form
    417/575.73 = 262.02/x
  3. Step 3: Cross multiply
    417x = 575.73 × 262.02
  4. Step 4: Simplify right side
    417x = 150,852.77
  5. Step 5: Solve for x
    x = 150,852.77/417
  6. Step 6: Final answer
    x = 361.76

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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.