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Finding the Fourth Proportional to 436.40, 602.24 and 237.24

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Solution

The fourth proportional to 436.40, 602.24 and 237.24 is: 327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.40 : 602.24 = 237.24 : x
  2. Step 2: Convert to fraction form
    436.40/602.24 = 237.24/x
  3. Step 3: Cross multiply
    436.40x = 602.24 × 237.24
  4. Step 4: Simplify right side
    436.40x = 142,871.85
  5. Step 5: Solve for x
    x = 142,871.85/436.40
  6. Step 6: Final answer
    x = 327.39

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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.