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Finding the Fourth Proportional to 591.48, 886.91 and 206.46

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Solution

The fourth proportional to 591.48, 886.91 and 206.46 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.48 : 886.91 = 206.46 : x
  2. Step 2: Convert to fraction form
    591.48/886.91 = 206.46/x
  3. Step 3: Cross multiply
    591.48x = 886.91 × 206.46
  4. Step 4: Simplify right side
    591.48x = 183,110.41
  5. Step 5: Solve for x
    x = 183,110.41/591.48
  6. Step 6: Final answer
    x = 309.58

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