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Finding the Fourth Proportional to 899.25, 1,348.22 and 343.86

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Solution

The fourth proportional to 899.25, 1,348.22 and 343.86 is: 515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.25 : 1,348.22 = 343.86 : x
  2. Step 2: Convert to fraction form
    899.25/1,348.22 = 343.86/x
  3. Step 3: Cross multiply
    899.25x = 1,348.22 × 343.86
  4. Step 4: Simplify right side
    899.25x = 463,597.21
  5. Step 5: Solve for x
    x = 463,597.21/899.25
  6. Step 6: Final answer
    x = 515.54

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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.