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Finding the Fourth Proportional to 466.32, 642.96 and 361.29

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Solution

The fourth proportional to 466.32, 642.96 and 361.29 is: 498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.32 : 642.96 = 361.29 : x
  2. Step 2: Convert to fraction form
    466.32/642.96 = 361.29/x
  3. Step 3: Cross multiply
    466.32x = 642.96 × 361.29
  4. Step 4: Simplify right side
    466.32x = 232,295.02
  5. Step 5: Solve for x
    x = 232,295.02/466.32
  6. Step 6: Final answer
    x = 498.15

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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.