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Finding the Fourth Proportional to 436.59, 654.98 and 205.47

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Solution

The fourth proportional to 436.59, 654.98 and 205.47 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.59 : 654.98 = 205.47 : x
  2. Step 2: Convert to fraction form
    436.59/654.98 = 205.47/x
  3. Step 3: Cross multiply
    436.59x = 654.98 × 205.47
  4. Step 4: Simplify right side
    436.59x = 134,577.71
  5. Step 5: Solve for x
    x = 134,577.71/436.59
  6. Step 6: Final answer
    x = 308.25

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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.