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Finding the Fourth Proportional to 465.57, 642.33 and 361.08

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Solution

The fourth proportional to 465.57, 642.33 and 361.08 is: 498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 642.33 = 361.08 : x
  2. Step 2: Convert to fraction form
    465.57/642.33 = 361.08/x
  3. Step 3: Cross multiply
    465.57x = 642.33 × 361.08
  4. Step 4: Simplify right side
    465.57x = 231,932.52
  5. Step 5: Solve for x
    x = 231,932.52/465.57
  6. Step 6: Final answer
    x = 498.17

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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.