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Finding the Fourth Proportional to 645.41, 890.93 and 412.49

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Solution

The fourth proportional to 645.41, 890.93 and 412.49 is: 569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.41 : 890.93 = 412.49 : x
  2. Step 2: Convert to fraction form
    645.41/890.93 = 412.49/x
  3. Step 3: Cross multiply
    645.41x = 890.93 × 412.49
  4. Step 4: Simplify right side
    645.41x = 367,499.72
  5. Step 5: Solve for x
    x = 367,499.72/645.41
  6. Step 6: Final answer
    x = 569.41

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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.