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Finding the Fourth Proportional to 645.42, 890.67 and 365.65

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Solution

The fourth proportional to 645.42, 890.67 and 365.65 is: 504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.42 : 890.67 = 365.65 : x
  2. Step 2: Convert to fraction form
    645.42/890.67 = 365.65/x
  3. Step 3: Cross multiply
    645.42x = 890.67 × 365.65
  4. Step 4: Simplify right side
    645.42x = 325,673.49
  5. Step 5: Solve for x
    x = 325,673.49/645.42
  6. Step 6: Final answer
    x = 504.59

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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.