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Finding the Fourth Proportional to 361.86, 540.18 and 307.20

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Solution

The fourth proportional to 361.86, 540.18 and 307.20 is: 458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.86 : 540.18 = 307.20 : x
  2. Step 2: Convert to fraction form
    361.86/540.18 = 307.20/x
  3. Step 3: Cross multiply
    361.86x = 540.18 × 307.20
  4. Step 4: Simplify right side
    361.86x = 165,943.30
  5. Step 5: Solve for x
    x = 165,943.30/361.86
  6. Step 6: Final answer
    x = 458.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.