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Finding the Fourth Proportional to 645.50, 890.80 and 412.62

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Solution

The fourth proportional to 645.50, 890.80 and 412.62 is: 569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.50 : 890.80 = 412.62 : x
  2. Step 2: Convert to fraction form
    645.50/890.80 = 412.62/x
  3. Step 3: Cross multiply
    645.50x = 890.80 × 412.62
  4. Step 4: Simplify right side
    645.50x = 367,561.90
  5. Step 5: Solve for x
    x = 367,561.90/645.50
  6. Step 6: Final answer
    x = 569.42

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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.