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Finding the Fourth Proportional to 361.29, 497.37 and 314.01

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Solution

The fourth proportional to 361.29, 497.37 and 314.01 is: 432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.29 : 497.37 = 314.01 : x
  2. Step 2: Convert to fraction form
    361.29/497.37 = 314.01/x
  3. Step 3: Cross multiply
    361.29x = 497.37 × 314.01
  4. Step 4: Simplify right side
    361.29x = 156,179.15
  5. Step 5: Solve for x
    x = 156,179.15/361.29
  6. Step 6: Final answer
    x = 432.28

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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.