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Finding the Fourth Proportional to 591.09, 886.44 and 206.25

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Solution

The fourth proportional to 591.09, 886.44 and 206.25 is: 309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.09 : 886.44 = 206.25 : x
  2. Step 2: Convert to fraction form
    591.09/886.44 = 206.25/x
  3. Step 3: Cross multiply
    591.09x = 886.44 × 206.25
  4. Step 4: Simplify right side
    591.09x = 182,828.25
  5. Step 5: Solve for x
    x = 182,828.25/591.09
  6. Step 6: Final answer
    x = 309.31

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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.