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Finding the Fourth Proportional to 465.34, 641.79 and 412.22

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Solution

The fourth proportional to 465.34, 641.79 and 412.22 is: 568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.34 : 641.79 = 412.22 : x
  2. Step 2: Convert to fraction form
    465.34/641.79 = 412.22/x
  3. Step 3: Cross multiply
    465.34x = 641.79 × 412.22
  4. Step 4: Simplify right side
    465.34x = 264,558.67
  5. Step 5: Solve for x
    x = 264,558.67/465.34
  6. Step 6: Final answer
    x = 568.53

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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.