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Finding the Fourth Proportional to 436.41, 654.71 and 193.00

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Solution

The fourth proportional to 436.41, 654.71 and 193.00 is: 289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.41 : 654.71 = 193.00 : x
  2. Step 2: Convert to fraction form
    436.41/654.71 = 193.00/x
  3. Step 3: Cross multiply
    436.41x = 654.71 × 193.00
  4. Step 4: Simplify right side
    436.41x = 126,359.85
  5. Step 5: Solve for x
    x = 126,359.85/436.41
  6. Step 6: Final answer
    x = 289.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.