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Finding the Fourth Proportional to 365.38, 547.46 and 288.84

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Solution

The fourth proportional to 365.38, 547.46 and 288.84 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.38 : 547.46 = 288.84 : x
  2. Step 2: Convert to fraction form
    365.38/547.46 = 288.84/x
  3. Step 3: Cross multiply
    365.38x = 547.46 × 288.84
  4. Step 4: Simplify right side
    365.38x = 158,128.35
  5. Step 5: Solve for x
    x = 158,128.35/365.38
  6. Step 6: Final answer
    x = 432.78

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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.