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Finding the Fourth Proportional to 645.62, 890.82 and 365.84

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Solution

The fourth proportional to 645.62, 890.82 and 365.84 is: 504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.62 : 890.82 = 365.84 : x
  2. Step 2: Convert to fraction form
    645.62/890.82 = 365.84/x
  3. Step 3: Cross multiply
    645.62x = 890.82 × 365.84
  4. Step 4: Simplify right side
    645.62x = 325,893.13
  5. Step 5: Solve for x
    x = 325,893.13/645.62
  6. Step 6: Final answer
    x = 504.77

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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.