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Finding the Fourth Proportional to 436.72, 602.69 and 289.40

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Solution

The fourth proportional to 436.72, 602.69 and 289.40 is: 399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.72 : 602.69 = 289.40 : x
  2. Step 2: Convert to fraction form
    436.72/602.69 = 289.40/x
  3. Step 3: Cross multiply
    436.72x = 602.69 × 289.40
  4. Step 4: Simplify right side
    436.72x = 174,418.49
  5. Step 5: Solve for x
    x = 174,418.49/436.72
  6. Step 6: Final answer
    x = 399.38

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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.