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Finding the Fourth Proportional to 436.35, 657.73 and 411.26

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Solution

The fourth proportional to 436.35, 657.73 and 411.26 is: 619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.35 : 657.73 = 411.26 : x
  2. Step 2: Convert to fraction form
    436.35/657.73 = 411.26/x
  3. Step 3: Cross multiply
    436.35x = 657.73 × 411.26
  4. Step 4: Simplify right side
    436.35x = 270,498.04
  5. Step 5: Solve for x
    x = 270,498.04/436.35
  6. Step 6: Final answer
    x = 619.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.