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Finding the Fourth Proportional to 840.42, 1,260.82 and 263.34

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Solution

The fourth proportional to 840.42, 1,260.82 and 263.34 is: 395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.42 : 1,260.82 = 263.34 : x
  2. Step 2: Convert to fraction form
    840.42/1,260.82 = 263.34/x
  3. Step 3: Cross multiply
    840.42x = 1,260.82 × 263.34
  4. Step 4: Simplify right side
    840.42x = 332,024.34
  5. Step 5: Solve for x
    x = 332,024.34/840.42
  6. Step 6: Final answer
    x = 395.07

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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.