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Finding the Fourth Proportional to 442.68, 610.80 and 256.14

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Solution

The fourth proportional to 442.68, 610.80 and 256.14 is: 353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.68 : 610.80 = 256.14 : x
  2. Step 2: Convert to fraction form
    442.68/610.80 = 256.14/x
  3. Step 3: Cross multiply
    442.68x = 610.80 × 256.14
  4. Step 4: Simplify right side
    442.68x = 156,450.31
  5. Step 5: Solve for x
    x = 156,450.31/442.68
  6. Step 6: Final answer
    x = 353.42

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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.