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Finding the Fourth Proportional to 465.06, 641.43 and 436.71

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Solution

The fourth proportional to 465.06, 641.43 and 436.71 is: 602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.06 : 641.43 = 436.71 : x
  2. Step 2: Convert to fraction form
    465.06/641.43 = 436.71/x
  3. Step 3: Cross multiply
    465.06x = 641.43 × 436.71
  4. Step 4: Simplify right side
    465.06x = 280,118.90
  5. Step 5: Solve for x
    x = 280,118.90/465.06
  6. Step 6: Final answer
    x = 602.33

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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.