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Finding the Fourth Proportional to 412.29, 617.74 and 275.38

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Solution

The fourth proportional to 412.29, 617.74 and 275.38 is: 412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 617.74 = 275.38 : x
  2. Step 2: Convert to fraction form
    412.29/617.74 = 275.38/x
  3. Step 3: Cross multiply
    412.29x = 617.74 × 275.38
  4. Step 4: Simplify right side
    412.29x = 170,111.01
  5. Step 5: Solve for x
    x = 170,111.01/412.29
  6. Step 6: Final answer
    x = 412.60

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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.