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Finding the Fourth Proportional to 591.07, 886.61 and 206.35

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Solution

The fourth proportional to 591.07, 886.61 and 206.35 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.07 : 886.61 = 206.35 : x
  2. Step 2: Convert to fraction form
    591.07/886.61 = 206.35/x
  3. Step 3: Cross multiply
    591.07x = 886.61 × 206.35
  4. Step 4: Simplify right side
    591.07x = 182,951.97
  5. Step 5: Solve for x
    x = 182,951.97/591.07
  6. Step 6: Final answer
    x = 309.53

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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.