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Finding the Fourth Proportional to 436.88, 602.08 and 367

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Solution

The fourth proportional to 436.88, 602.08 and 367 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.88 : 602.08 = 367 : x
  2. Step 2: Convert to fraction form
    436.88/602.08 = 367/x
  3. Step 3: Cross multiply
    436.88x = 602.08 × 367
  4. Step 4: Simplify right side
    436.88x = 220,963.36
  5. Step 5: Solve for x
    x = 220,963.36/436.88
  6. Step 6: Final answer
    x = 505.78

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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.