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Finding the Fourth Proportional to 645.46, 890.52 and 365.66

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Solution

The fourth proportional to 645.46, 890.52 and 365.66 is: 504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.46 : 890.52 = 365.66 : x
  2. Step 2: Convert to fraction form
    645.46/890.52 = 365.66/x
  3. Step 3: Cross multiply
    645.46x = 890.52 × 365.66
  4. Step 4: Simplify right side
    645.46x = 325,627.54
  5. Step 5: Solve for x
    x = 325,627.54/645.46
  6. Step 6: Final answer
    x = 504.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.