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Finding the Fourth Proportional to 365.31, 546.75 and 311.04

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Solution

The fourth proportional to 365.31, 546.75 and 311.04 is: 465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 546.75 = 311.04 : x
  2. Step 2: Convert to fraction form
    365.31/546.75 = 311.04/x
  3. Step 3: Cross multiply
    365.31x = 546.75 × 311.04
  4. Step 4: Simplify right side
    365.31x = 170,061.12
  5. Step 5: Solve for x
    x = 170,061.12/365.31
  6. Step 6: Final answer
    x = 465.53

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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.