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Finding the Fourth Proportional to 591.45, 886.94 and 174.86

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Solution

The fourth proportional to 591.45, 886.94 and 174.86 is: 262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.45 : 886.94 = 174.86 : x
  2. Step 2: Convert to fraction form
    591.45/886.94 = 174.86/x
  3. Step 3: Cross multiply
    591.45x = 886.94 × 174.86
  4. Step 4: Simplify right side
    591.45x = 155,085.02
  5. Step 5: Solve for x
    x = 155,085.02/591.45
  6. Step 6: Final answer
    x = 262.21

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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.