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Finding the Fourth Proportional to 942.76, 1,414.22 and 258.76

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Solution

The fourth proportional to 942.76, 1,414.22 and 258.76 is: 388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.76 : 1,414.22 = 258.76 : x
  2. Step 2: Convert to fraction form
    942.76/1,414.22 = 258.76/x
  3. Step 3: Cross multiply
    942.76x = 1,414.22 × 258.76
  4. Step 4: Simplify right side
    942.76x = 365,943.57
  5. Step 5: Solve for x
    x = 365,943.57/942.76
  6. Step 6: Final answer
    x = 388.16

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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.