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Finding the Fourth Proportional to 442.76, 610.93 and 256.26

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Solution

The fourth proportional to 442.76, 610.93 and 256.26 is: 353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.76 : 610.93 = 256.26 : x
  2. Step 2: Convert to fraction form
    442.76/610.93 = 256.26/x
  3. Step 3: Cross multiply
    442.76x = 610.93 × 256.26
  4. Step 4: Simplify right side
    442.76x = 156,555.64
  5. Step 5: Solve for x
    x = 156,555.64/442.76
  6. Step 6: Final answer
    x = 353.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.