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Finding the Fourth Proportional to 436.37, 602.41 and 297.23

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Solution

The fourth proportional to 436.37, 602.41 and 297.23 is: 410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.37 : 602.41 = 297.23 : x
  2. Step 2: Convert to fraction form
    436.37/602.41 = 297.23/x
  3. Step 3: Cross multiply
    436.37x = 602.41 × 297.23
  4. Step 4: Simplify right side
    436.37x = 179,051.31
  5. Step 5: Solve for x
    x = 179,051.31/436.37
  6. Step 6: Final answer
    x = 410.32

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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.