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Finding the Fourth Proportional to 365.96, 547.66 and 289.16

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Solution

The fourth proportional to 365.96, 547.66 and 289.16 is: 432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.96 : 547.66 = 289.16 : x
  2. Step 2: Convert to fraction form
    365.96/547.66 = 289.16/x
  3. Step 3: Cross multiply
    365.96x = 547.66 × 289.16
  4. Step 4: Simplify right side
    365.96x = 158,361.37
  5. Step 5: Solve for x
    x = 158,361.37/365.96
  6. Step 6: Final answer
    x = 432.73

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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.