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Finding the Fourth Proportional to 397.64, 597.23 and 361.51

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Solution

The fourth proportional to 397.64, 597.23 and 361.51 is: 542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.64 : 597.23 = 361.51 : x
  2. Step 2: Convert to fraction form
    397.64/597.23 = 361.51/x
  3. Step 3: Cross multiply
    397.64x = 597.23 × 361.51
  4. Step 4: Simplify right side
    397.64x = 215,904.03
  5. Step 5: Solve for x
    x = 215,904.03/397.64
  6. Step 6: Final answer
    x = 542.97

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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.