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Finding the Fourth Proportional to 360.96, 501.46 and 356.64

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Solution

The fourth proportional to 360.96, 501.46 and 356.64 is: 495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 501.46 = 356.64 : x
  2. Step 2: Convert to fraction form
    360.96/501.46 = 356.64/x
  3. Step 3: Cross multiply
    360.96x = 501.46 × 356.64
  4. Step 4: Simplify right side
    360.96x = 178,840.69
  5. Step 5: Solve for x
    x = 178,840.69/360.96
  6. Step 6: Final answer
    x = 495.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.