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Finding the Fourth Proportional to 642, 885.10 and 465.22

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Solution

The fourth proportional to 642, 885.10 and 465.22 is: 641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    642 : 885.10 = 465.22 : x
  2. Step 2: Convert to fraction form
    642/885.10 = 465.22/x
  3. Step 3: Cross multiply
    642x = 885.10 × 465.22
  4. Step 4: Simplify right side
    642x = 411,759.47
  5. Step 5: Solve for x
    x = 411,759.47/642
  6. Step 6: Final answer
    x = 641.37

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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.