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Finding the Fourth Proportional to 436.90, 602.94 and 271.22

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Solution

The fourth proportional to 436.90, 602.94 and 271.22 is: 374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.90 : 602.94 = 271.22 : x
  2. Step 2: Convert to fraction form
    436.90/602.94 = 271.22/x
  3. Step 3: Cross multiply
    436.90x = 602.94 × 271.22
  4. Step 4: Simplify right side
    436.90x = 163,529.39
  5. Step 5: Solve for x
    x = 163,529.39/436.90
  6. Step 6: Final answer
    x = 374.29

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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.