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Finding the Fourth Proportional to 436.08, 653.51 and 327.80

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Solution

The fourth proportional to 436.08, 653.51 and 327.80 is: 491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.08 : 653.51 = 327.80 : x
  2. Step 2: Convert to fraction form
    436.08/653.51 = 327.80/x
  3. Step 3: Cross multiply
    436.08x = 653.51 × 327.80
  4. Step 4: Simplify right side
    436.08x = 214,220.58
  5. Step 5: Solve for x
    x = 214,220.58/436.08
  6. Step 6: Final answer
    x = 491.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.