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Finding the Fourth Proportional to 895.22, 1,342.79 and 408.26

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Solution

The fourth proportional to 895.22, 1,342.79 and 408.26 is: 612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.22 : 1,342.79 = 408.26 : x
  2. Step 2: Convert to fraction form
    895.22/1,342.79 = 408.26/x
  3. Step 3: Cross multiply
    895.22x = 1,342.79 × 408.26
  4. Step 4: Simplify right side
    895.22x = 548,211.82
  5. Step 5: Solve for x
    x = 548,211.82/895.22
  6. Step 6: Final answer
    x = 612.38

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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.