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Finding the Fourth Proportional to 645.42, 890.33 and 408.94

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Solution

The fourth proportional to 645.42, 890.33 and 408.94 is: 564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.42 : 890.33 = 408.94 : x
  2. Step 2: Convert to fraction form
    645.42/890.33 = 408.94/x
  3. Step 3: Cross multiply
    645.42x = 890.33 × 408.94
  4. Step 4: Simplify right side
    645.42x = 364,091.55
  5. Step 5: Solve for x
    x = 364,091.55/645.42
  6. Step 6: Final answer
    x = 564.12

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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.