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Finding the Fourth Proportional to 436.61, 654.38 and 217.00

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Solution

The fourth proportional to 436.61, 654.38 and 217.00 is: 325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.61 : 654.38 = 217.00 : x
  2. Step 2: Convert to fraction form
    436.61/654.38 = 217.00/x
  3. Step 3: Cross multiply
    436.61x = 654.38 × 217.00
  4. Step 4: Simplify right side
    436.61x = 142,001.01
  5. Step 5: Solve for x
    x = 142,001.01/436.61
  6. Step 6: Final answer
    x = 325.23

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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.